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Finding the Fourth Proportional to 763,042, 1,144,286.52 and 342,101.20

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Solution

The fourth proportional to 763,042, 1,144,286.52 and 342,101.20 is: 513,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,042 : 1,144,286.52 = 342,101.20 : x
  2. Step 2: Convert to fraction form
    763,042/1,144,286.52 = 342,101.20/x
  3. Step 3: Cross multiply
    763,042x = 1,144,286.52 × 342,101.20
  4. Step 4: Simplify right side
    763,042x = 391,461,791,635.82
  5. Step 5: Solve for x
    x = 391,461,791,635.82/763,042
  6. Step 6: Final answer
    x = 513,027.84

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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.