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Finding the Fourth Proportional to 321,959.98, 482,743.14 and 153,531.82

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Solution

The fourth proportional to 321,959.98, 482,743.14 and 153,531.82 is: 230,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,959.98 : 482,743.14 = 153,531.82 : x
  2. Step 2: Convert to fraction form
    321,959.98/482,743.14 = 153,531.82/x
  3. Step 3: Cross multiply
    321,959.98x = 482,743.14 × 153,531.82
  4. Step 4: Simplify right side
    321,959.98x = 74,116,432,876.71
  5. Step 5: Solve for x
    x = 74,116,432,876.71/321,959.98
  6. Step 6: Final answer
    x = 230,203.87

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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.