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Finding the Fourth Proportional to 808,751.80, 1,214,126.10 and 509,231.80

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Solution

The fourth proportional to 808,751.80, 1,214,126.10 and 509,231.80 is: 764,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,751.80 : 1,214,126.10 = 509,231.80 : x
  2. Step 2: Convert to fraction form
    808,751.80/1,214,126.10 = 509,231.80/x
  3. Step 3: Cross multiply
    808,751.80x = 1,214,126.10 × 509,231.80
  4. Step 4: Simplify right side
    808,751.80x = 618,271,619,329.98
  5. Step 5: Solve for x
    x = 618,271,619,329.98/808,751.80
  6. Step 6: Final answer
    x = 764,476.34

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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.