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Finding the Fourth Proportional to 402,701.40, 603,516.15 and 213,121.17

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Solution

The fourth proportional to 402,701.40, 603,516.15 and 213,121.17 is: 319,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,701.40 : 603,516.15 = 213,121.17 : x
  2. Step 2: Convert to fraction form
    402,701.40/603,516.15 = 213,121.17/x
  3. Step 3: Cross multiply
    402,701.40x = 603,516.15 × 213,121.17
  4. Step 4: Simplify right side
    402,701.40x = 128,622,068,001.90
  5. Step 5: Solve for x
    x = 128,622,068,001.90/402,701.40
  6. Step 6: Final answer
    x = 319,398.11

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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.