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Finding the Fourth Proportional to 664,420.67, 916,612.90 and 406,308.90

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Solution

The fourth proportional to 664,420.67, 916,612.90 and 406,308.90 is: 560,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,420.67 : 916,612.90 = 406,308.90 : x
  2. Step 2: Convert to fraction form
    664,420.67/916,612.90 = 406,308.90/x
  3. Step 3: Cross multiply
    664,420.67x = 916,612.90 × 406,308.90
  4. Step 4: Simplify right side
    664,420.67x = 372,427,979,124.81
  5. Step 5: Solve for x
    x = 372,427,979,124.81/664,420.67
  6. Step 6: Final answer
    x = 560,530.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.