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Finding the Fourth Proportional to 459,007.60, 688,511.40 and 434,513.20

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Solution

The fourth proportional to 459,007.60, 688,511.40 and 434,513.20 is: 651,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,007.60 : 688,511.40 = 434,513.20 : x
  2. Step 2: Convert to fraction form
    459,007.60/688,511.40 = 434,513.20/x
  3. Step 3: Cross multiply
    459,007.60x = 688,511.40 × 434,513.20
  4. Step 4: Simplify right side
    459,007.60x = 299,167,291,650.48
  5. Step 5: Solve for x
    x = 299,167,291,650.48/459,007.60
  6. Step 6: Final answer
    x = 651,769.80

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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.