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Finding the Fourth Proportional to 523,125.20, 784,695.09 and 149,148.20

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Solution

The fourth proportional to 523,125.20, 784,695.09 and 149,148.20 is: 223,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,125.20 : 784,695.09 = 149,148.20 : x
  2. Step 2: Convert to fraction form
    523,125.20/784,695.09 = 149,148.20/x
  3. Step 3: Cross multiply
    523,125.20x = 784,695.09 × 149,148.20
  4. Step 4: Simplify right side
    523,125.20x = 117,035,856,298.86
  5. Step 5: Solve for x
    x = 117,035,856,298.86/523,125.20
  6. Step 6: Final answer
    x = 223,724.37

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1.5x scale

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.