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Finding the Fourth Proportional to 347,129.20, 520,591.74 and 147,448

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Solution

The fourth proportional to 347,129.20, 520,591.74 and 147,448 is: 221,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,129.20 : 520,591.74 = 147,448 : x
  2. Step 2: Convert to fraction form
    347,129.20/520,591.74 = 147,448/x
  3. Step 3: Cross multiply
    347,129.20x = 520,591.74 × 147,448
  4. Step 4: Simplify right side
    347,129.20x = 76,760,210,879.52
  5. Step 5: Solve for x
    x = 76,760,210,879.52/347,129.20
  6. Step 6: Final answer
    x = 221,128.65

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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.