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Finding the Fourth Proportional to 289,732.14, 399,819.20 and 160,675.92

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Solution

The fourth proportional to 289,732.14, 399,819.20 and 160,675.92 is: 221,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,732.14 : 399,819.20 = 160,675.92 : x
  2. Step 2: Convert to fraction form
    289,732.14/399,819.20 = 160,675.92/x
  3. Step 3: Cross multiply
    289,732.14x = 399,819.20 × 160,675.92
  4. Step 4: Simplify right side
    289,732.14x = 64,241,316,990.28
  5. Step 5: Solve for x
    x = 64,241,316,990.28/289,732.14
  6. Step 6: Final answer
    x = 221,726.58

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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.