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Finding the Fourth Proportional to 647,901.90, 894,098.52 and 357,516.18

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Solution

The fourth proportional to 647,901.90, 894,098.52 and 357,516.18 is: 493,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,901.90 : 894,098.52 = 357,516.18 : x
  2. Step 2: Convert to fraction form
    647,901.90/894,098.52 = 357,516.18/x
  3. Step 3: Cross multiply
    647,901.90x = 894,098.52 × 357,516.18
  4. Step 4: Simplify right side
    647,901.90x = 319,654,687,414.05
  5. Step 5: Solve for x
    x = 319,654,687,414.05/647,901.90
  6. Step 6: Final answer
    x = 493,368.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.