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Finding the Fourth Proportional to 809,235.80, 1,214,852.10 and 509,715.80

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Solution

The fourth proportional to 809,235.80, 1,214,852.10 and 509,715.80 is: 765,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,235.80 : 1,214,852.10 = 509,715.80 : x
  2. Step 2: Convert to fraction form
    809,235.80/1,214,852.10 = 509,715.80/x
  3. Step 3: Cross multiply
    809,235.80x = 1,214,852.10 × 509,715.80
  4. Step 4: Simplify right side
    809,235.80x = 619,229,310,033.18
  5. Step 5: Solve for x
    x = 619,229,310,033.18/809,235.80
  6. Step 6: Final answer
    x = 765,202.57

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.