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Finding the Fourth Proportional to 512,598.16, 768,838.92 and 138,592

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Solution

The fourth proportional to 512,598.16, 768,838.92 and 138,592 is: 207,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,598.16 : 768,838.92 = 138,592 : x
  2. Step 2: Convert to fraction form
    512,598.16/768,838.92 = 138,592/x
  3. Step 3: Cross multiply
    512,598.16x = 768,838.92 × 138,592
  4. Step 4: Simplify right side
    512,598.16x = 106,554,923,600.64
  5. Step 5: Solve for x
    x = 106,554,923,600.64/512,598.16
  6. Step 6: Final answer
    x = 207,872.23

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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.