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Finding the Fourth Proportional to 319,691.90, 441,143.39 and 176,442.71

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Solution

The fourth proportional to 319,691.90, 441,143.39 and 176,442.71 is: 243,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,691.90 : 441,143.39 = 176,442.71 : x
  2. Step 2: Convert to fraction form
    319,691.90/441,143.39 = 176,442.71/x
  3. Step 3: Cross multiply
    319,691.90x = 441,143.39 × 176,442.71
  4. Step 4: Simplify right side
    319,691.90x = 77,836,535,230.19
  5. Step 5: Solve for x
    x = 77,836,535,230.19/319,691.90
  6. Step 6: Final answer
    x = 243,473.59

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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.