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Finding the Fourth Proportional to 523,146.80, 784,727.44 and 149,169.76

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Solution

The fourth proportional to 523,146.80, 784,727.44 and 149,169.76 is: 223,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,146.80 : 784,727.44 = 149,169.76 : x
  2. Step 2: Convert to fraction form
    523,146.80/784,727.44 = 149,169.76/x
  3. Step 3: Cross multiply
    523,146.80x = 784,727.44 × 149,169.76
  4. Step 4: Simplify right side
    523,146.80x = 117,057,603,890.21
  5. Step 5: Solve for x
    x = 117,057,603,890.21/523,146.80
  6. Step 6: Final answer
    x = 223,756.70

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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.