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Finding the Fourth Proportional to 285,211.68, 393,539.76 and 164,335.92

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Solution

The fourth proportional to 285,211.68, 393,539.76 and 164,335.92 is: 226,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,211.68 : 393,539.76 = 164,335.92 : x
  2. Step 2: Convert to fraction form
    285,211.68/393,539.76 = 164,335.92/x
  3. Step 3: Cross multiply
    285,211.68x = 393,539.76 × 164,335.92
  4. Step 4: Simplify right side
    285,211.68x = 64,672,718,516.18
  5. Step 5: Solve for x
    x = 64,672,718,516.18/285,211.68
  6. Step 6: Final answer
    x = 226,753.40

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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.