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Finding the Fourth Proportional to 523,100.25, 784,657.67 and 149,123.25

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Solution

The fourth proportional to 523,100.25, 784,657.67 and 149,123.25 is: 223,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,100.25 : 784,657.67 = 149,123.25 : x
  2. Step 2: Convert to fraction form
    523,100.25/784,657.67 = 149,123.25/x
  3. Step 3: Cross multiply
    523,100.25x = 784,657.67 × 149,123.25
  4. Step 4: Simplify right side
    523,100.25x = 117,010,701,142.21
  5. Step 5: Solve for x
    x = 117,010,701,142.21/523,100.25
  6. Step 6: Final answer
    x = 223,686.95

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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.