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Finding the Fourth Proportional to 422,275.68, 582,740.64 and 231,301.20

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Solution

The fourth proportional to 422,275.68, 582,740.64 and 231,301.20 is: 319,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,275.68 : 582,740.64 = 231,301.20 : x
  2. Step 2: Convert to fraction form
    422,275.68/582,740.64 = 231,301.20/x
  3. Step 3: Cross multiply
    422,275.68x = 582,740.64 × 231,301.20
  4. Step 4: Simplify right side
    422,275.68x = 134,788,609,320.77
  5. Step 5: Solve for x
    x = 134,788,609,320.77/422,275.68
  6. Step 6: Final answer
    x = 319,195.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.