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Finding the Fourth Proportional to 661,149, 912,385.62 and 392,877

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Solution

The fourth proportional to 661,149, 912,385.62 and 392,877 is: 542,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,149 : 912,385.62 = 392,877 : x
  2. Step 2: Convert to fraction form
    661,149/912,385.62 = 392,877/x
  3. Step 3: Cross multiply
    661,149x = 912,385.62 × 392,877
  4. Step 4: Simplify right side
    661,149x = 358,455,325,228.74
  5. Step 5: Solve for x
    x = 358,455,325,228.74/661,149
  6. Step 6: Final answer
    x = 542,170.26

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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.