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Finding the Fourth Proportional to 642,753.16, 963,818.70 and 221,881.48

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Solution

The fourth proportional to 642,753.16, 963,818.70 and 221,881.48 is: 332,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,753.16 : 963,818.70 = 221,881.48 : x
  2. Step 2: Convert to fraction form
    642,753.16/963,818.70 = 221,881.48/x
  3. Step 3: Cross multiply
    642,753.16x = 963,818.70 × 221,881.48
  4. Step 4: Simplify right side
    642,753.16x = 213,853,519,607.68
  5. Step 5: Solve for x
    x = 213,853,519,607.68/642,753.16
  6. Step 6: Final answer
    x = 332,714.85

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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.