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Finding the Fourth Proportional to 342,654.50, 513,419.95 and 242,635.14

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Solution

The fourth proportional to 342,654.50, 513,419.95 and 242,635.14 is: 363,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,654.50 : 513,419.95 = 242,635.14 : x
  2. Step 2: Convert to fraction form
    342,654.50/513,419.95 = 242,635.14/x
  3. Step 3: Cross multiply
    342,654.50x = 513,419.95 × 242,635.14
  4. Step 4: Simplify right side
    342,654.50x = 124,573,720,840.46
  5. Step 5: Solve for x
    x = 124,573,720,840.46/342,654.50
  6. Step 6: Final answer
    x = 363,554.89

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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.