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Finding the Fourth Proportional to 661,505.10, 992,257.65 and 512,205.90

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Solution

The fourth proportional to 661,505.10, 992,257.65 and 512,205.90 is: 768,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,505.10 : 992,257.65 = 512,205.90 : x
  2. Step 2: Convert to fraction form
    661,505.10/992,257.65 = 512,205.90/x
  3. Step 3: Cross multiply
    661,505.10x = 992,257.65 × 512,205.90
  4. Step 4: Simplify right side
    661,505.10x = 508,240,222,650.14
  5. Step 5: Solve for x
    x = 508,240,222,650.14/661,505.10
  6. Step 6: Final answer
    x = 768,308.85

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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.