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Finding the Fourth Proportional to 342,178.91, 513,272.46 and 207,272.44

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Solution

The fourth proportional to 342,178.91, 513,272.46 and 207,272.44 is: 310,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,178.91 : 513,272.46 = 207,272.44 : x
  2. Step 2: Convert to fraction form
    342,178.91/513,272.46 = 207,272.44/x
  3. Step 3: Cross multiply
    342,178.91x = 513,272.46 × 207,272.44
  4. Step 4: Simplify right side
    342,178.91x = 106,387,234,132.64
  5. Step 5: Solve for x
    x = 106,387,234,132.64/342,178.91
  6. Step 6: Final answer
    x = 310,911.14

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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.