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Finding the Fourth Proportional to 487,103.20, 730,654.80 and 410,120.80

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Solution

The fourth proportional to 487,103.20, 730,654.80 and 410,120.80 is: 615,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,103.20 : 730,654.80 = 410,120.80 : x
  2. Step 2: Convert to fraction form
    487,103.20/730,654.80 = 410,120.80/x
  3. Step 3: Cross multiply
    487,103.20x = 730,654.80 × 410,120.80
  4. Step 4: Simplify right side
    487,103.20x = 299,656,731,099.84
  5. Step 5: Solve for x
    x = 299,656,731,099.84/487,103.20
  6. Step 6: Final answer
    x = 615,181.20

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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.