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Finding the Fourth Proportional to 512,061.48, 767,839.50 and 156,989.88

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Solution

The fourth proportional to 512,061.48, 767,839.50 and 156,989.88 is: 235,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,061.48 : 767,839.50 = 156,989.88 : x
  2. Step 2: Convert to fraction form
    512,061.48/767,839.50 = 156,989.88/x
  3. Step 3: Cross multiply
    512,061.48x = 767,839.50 × 156,989.88
  4. Step 4: Simplify right side
    512,061.48x = 120,543,030,964.26
  5. Step 5: Solve for x
    x = 120,543,030,964.26/512,061.48
  6. Step 6: Final answer
    x = 235,407.34

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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.