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Finding the Fourth Proportional to 287,656.87, 431,491.46 and 74,429.38

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Solution

The fourth proportional to 287,656.87, 431,491.46 and 74,429.38 is: 111,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,656.87 : 431,491.46 = 74,429.38 : x
  2. Step 2: Convert to fraction form
    287,656.87/431,491.46 = 74,429.38/x
  3. Step 3: Cross multiply
    287,656.87x = 431,491.46 × 74,429.38
  4. Step 4: Simplify right side
    287,656.87x = 32,115,642,010.31
  5. Step 5: Solve for x
    x = 32,115,642,010.31/287,656.87
  6. Step 6: Final answer
    x = 111,645.66

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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.