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Finding the Fourth Proportional to 458,884.60, 687,654.60 and 411,499.60

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Solution

The fourth proportional to 458,884.60, 687,654.60 and 411,499.60 is: 616,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,884.60 : 687,654.60 = 411,499.60 : x
  2. Step 2: Convert to fraction form
    458,884.60/687,654.60 = 411,499.60/x
  3. Step 3: Cross multiply
    458,884.60x = 687,654.60 × 411,499.60
  4. Step 4: Simplify right side
    458,884.60x = 282,969,592,838.16
  5. Step 5: Solve for x
    x = 282,969,592,838.16/458,884.60
  6. Step 6: Final answer
    x = 616,646.52

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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.