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Finding the Fourth Proportional to 354,758.78, 531,942.96 and 242,565.68

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Solution

The fourth proportional to 354,758.78, 531,942.96 and 242,565.68 is: 363,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,758.78 : 531,942.96 = 242,565.68 : x
  2. Step 2: Convert to fraction form
    354,758.78/531,942.96 = 242,565.68/x
  3. Step 3: Cross multiply
    354,758.78x = 531,942.96 × 242,565.68
  4. Step 4: Simplify right side
    354,758.78x = 129,031,105,813.61
  5. Step 5: Solve for x
    x = 129,031,105,813.61/354,758.78
  6. Step 6: Final answer
    x = 363,715.05

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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.