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Finding the Fourth Proportional to 457,331.60, 686,386.20 and 205,000.40

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Solution

The fourth proportional to 457,331.60, 686,386.20 and 205,000.40 is: 307,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,331.60 : 686,386.20 = 205,000.40 : x
  2. Step 2: Convert to fraction form
    457,331.60/686,386.20 = 205,000.40/x
  3. Step 3: Cross multiply
    457,331.60x = 686,386.20 × 205,000.40
  4. Step 4: Simplify right side
    457,331.60x = 140,709,445,554.48
  5. Step 5: Solve for x
    x = 140,709,445,554.48/457,331.60
  6. Step 6: Final answer
    x = 307,674.88

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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.