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Finding the Fourth Proportional to 284,051.52, 391,993.20 and 156,731.84

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Solution

The fourth proportional to 284,051.52, 391,993.20 and 156,731.84 is: 216,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.52 : 391,993.20 = 156,731.84 : x
  2. Step 2: Convert to fraction form
    284,051.52/391,993.20 = 156,731.84/x
  3. Step 3: Cross multiply
    284,051.52x = 391,993.20 × 156,731.84
  4. Step 4: Simplify right side
    284,051.52x = 61,437,815,503.49
  5. Step 5: Solve for x
    x = 61,437,815,503.49/284,051.52
  6. Step 6: Final answer
    x = 216,291.10

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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.