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Finding the Fourth Proportional to 523,146.25, 784,726.80 and 149,169.25

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Solution

The fourth proportional to 523,146.25, 784,726.80 and 149,169.25 is: 223,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,146.25 : 784,726.80 = 149,169.25 : x
  2. Step 2: Convert to fraction form
    523,146.25/784,726.80 = 149,169.25/x
  3. Step 3: Cross multiply
    523,146.25x = 784,726.80 × 149,169.25
  4. Step 4: Simplify right side
    523,146.25x = 117,057,108,210.90
  5. Step 5: Solve for x
    x = 117,057,108,210.90/523,146.25
  6. Step 6: Final answer
    x = 223,755.99

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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.