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Finding the Fourth Proportional to 287,930.32, 431,710.56 and 119,566.82

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Solution

The fourth proportional to 287,930.32, 431,710.56 and 119,566.82 is: 179,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,930.32 : 431,710.56 = 119,566.82 : x
  2. Step 2: Convert to fraction form
    287,930.32/431,710.56 = 119,566.82/x
  3. Step 3: Cross multiply
    287,930.32x = 431,710.56 × 119,566.82
  4. Step 4: Simplify right side
    287,930.32x = 51,618,259,898.90
  5. Step 5: Solve for x
    x = 51,618,259,898.90/287,930.32
  6. Step 6: Final answer
    x = 179,273.44

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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.