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Finding the Fourth Proportional to 242,284.86, 363,428.66 and 215,753.82

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Solution

The fourth proportional to 242,284.86, 363,428.66 and 215,753.82 is: 323,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,284.86 : 363,428.66 = 215,753.82 : x
  2. Step 2: Convert to fraction form
    242,284.86/363,428.66 = 215,753.82/x
  3. Step 3: Cross multiply
    242,284.86x = 363,428.66 × 215,753.82
  4. Step 4: Simplify right side
    242,284.86x = 78,411,121,692.48
  5. Step 5: Solve for x
    x = 78,411,121,692.48/242,284.86
  6. Step 6: Final answer
    x = 323,631.95

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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.