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Finding the Fourth Proportional to 321,921.52, 482,873.82 and 153,560.86

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Solution

The fourth proportional to 321,921.52, 482,873.82 and 153,560.86 is: 230,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,921.52 : 482,873.82 = 153,560.86 : x
  2. Step 2: Convert to fraction form
    321,921.52/482,873.82 = 153,560.86/x
  3. Step 3: Cross multiply
    321,921.52x = 482,873.82 × 153,560.86
  4. Step 4: Simplify right side
    321,921.52x = 74,150,519,070.69
  5. Step 5: Solve for x
    x = 74,150,519,070.69/321,921.52
  6. Step 6: Final answer
    x = 230,337.25

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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.