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Finding the Fourth Proportional to 458,497.20, 686,433.60 and 406,009.20

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Solution

The fourth proportional to 458,497.20, 686,433.60 and 406,009.20 is: 607,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,497.20 : 686,433.60 = 406,009.20 : x
  2. Step 2: Convert to fraction form
    458,497.20/686,433.60 = 406,009.20/x
  3. Step 3: Cross multiply
    458,497.20x = 686,433.60 × 406,009.20
  4. Step 4: Simplify right side
    458,497.20x = 278,698,356,789.12
  5. Step 5: Solve for x
    x = 278,698,356,789.12/458,497.20
  6. Step 6: Final answer
    x = 607,851.82

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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.