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Finding the Fourth Proportional to 523,147.80, 784,728.94 and 149,170.76

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Solution

The fourth proportional to 523,147.80, 784,728.94 and 149,170.76 is: 223,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,147.80 : 784,728.94 = 149,170.76 : x
  2. Step 2: Convert to fraction form
    523,147.80/784,728.94 = 149,170.76/x
  3. Step 3: Cross multiply
    523,147.80x = 784,728.94 × 149,170.76
  4. Step 4: Simplify right side
    523,147.80x = 117,058,612,373.79
  5. Step 5: Solve for x
    x = 117,058,612,373.79/523,147.80
  6. Step 6: Final answer
    x = 223,758.20

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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.