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Finding the Fourth Proportional to 459,097.80, 688,646.70 and 409,234.20

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Solution

The fourth proportional to 459,097.80, 688,646.70 and 409,234.20 is: 613,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,097.80 : 688,646.70 = 409,234.20 : x
  2. Step 2: Convert to fraction form
    459,097.80/688,646.70 = 409,234.20/x
  3. Step 3: Cross multiply
    459,097.80x = 688,646.70 × 409,234.20
  4. Step 4: Simplify right side
    459,097.80x = 281,817,781,357.14
  5. Step 5: Solve for x
    x = 281,817,781,357.14/459,097.80
  6. Step 6: Final answer
    x = 613,851.30

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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.