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Finding the Fourth Proportional to 457,440.20, 686,549.10 and 368,793.80

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Solution

The fourth proportional to 457,440.20, 686,549.10 and 368,793.80 is: 553,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,440.20 : 686,549.10 = 368,793.80 : x
  2. Step 2: Convert to fraction form
    457,440.20/686,549.10 = 368,793.80/x
  3. Step 3: Cross multiply
    457,440.20x = 686,549.10 × 368,793.80
  4. Step 4: Simplify right side
    457,440.20x = 253,195,051,475.58
  5. Step 5: Solve for x
    x = 253,195,051,475.58/457,440.20
  6. Step 6: Final answer
    x = 553,504.16

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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.