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Finding the Fourth Proportional to 289,754.48, 399,862.17 and 162,421.88

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Solution

The fourth proportional to 289,754.48, 399,862.17 and 162,421.88 is: 224,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,754.48 : 399,862.17 = 162,421.88 : x
  2. Step 2: Convert to fraction form
    289,754.48/399,862.17 = 162,421.88/x
  3. Step 3: Cross multiply
    289,754.48x = 399,862.17 × 162,421.88
  4. Step 4: Simplify right side
    289,754.48x = 64,946,363,392.97
  5. Step 5: Solve for x
    x = 64,946,363,392.97/289,754.48
  6. Step 6: Final answer
    x = 224,142.74

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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.