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Finding the Fourth Proportional to 457,432.20, 686,537.10 and 368,785.80

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Solution

The fourth proportional to 457,432.20, 686,537.10 and 368,785.80 is: 553,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,432.20 : 686,537.10 = 368,785.80 : x
  2. Step 2: Convert to fraction form
    457,432.20/686,537.10 = 368,785.80/x
  3. Step 3: Cross multiply
    457,432.20x = 686,537.10 × 368,785.80
  4. Step 4: Simplify right side
    457,432.20x = 253,185,133,653.18
  5. Step 5: Solve for x
    x = 253,185,133,653.18/457,432.20
  6. Step 6: Final answer
    x = 553,492.15

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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.