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Finding the Fourth Proportional to 287,669.71, 431,508.21 and 110,187.37

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Solution

The fourth proportional to 287,669.71, 431,508.21 and 110,187.37 is: 165,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,669.71 : 431,508.21 = 110,187.37 : x
  2. Step 2: Convert to fraction form
    287,669.71/431,508.21 = 110,187.37/x
  3. Step 3: Cross multiply
    287,669.71x = 431,508.21 × 110,187.37
  4. Step 4: Simplify right side
    287,669.71x = 47,546,754,793.31
  5. Step 5: Solve for x
    x = 47,546,754,793.31/287,669.71
  6. Step 6: Final answer
    x = 165,282.45

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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.