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Finding the Fourth Proportional to 509,355.40, 764,033.10 and 465,809.80

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Solution

The fourth proportional to 509,355.40, 764,033.10 and 465,809.80 is: 698,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,355.40 : 764,033.10 = 465,809.80 : x
  2. Step 2: Convert to fraction form
    509,355.40/764,033.10 = 465,809.80/x
  3. Step 3: Cross multiply
    509,355.40x = 764,033.10 × 465,809.80
  4. Step 4: Simplify right side
    509,355.40x = 355,894,105,504.38
  5. Step 5: Solve for x
    x = 355,894,105,504.38/509,355.40
  6. Step 6: Final answer
    x = 698,714.70

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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.