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Finding the Fourth Proportional to 289,298.73, 433,641.92 and 131,637.90

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Solution

The fourth proportional to 289,298.73, 433,641.92 and 131,637.90 is: 197,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,298.73 : 433,641.92 = 131,637.90 : x
  2. Step 2: Convert to fraction form
    289,298.73/433,641.92 = 131,637.90/x
  3. Step 3: Cross multiply
    289,298.73x = 433,641.92 × 131,637.90
  4. Step 4: Simplify right side
    289,298.73x = 57,083,711,042.58
  5. Step 5: Solve for x
    x = 57,083,711,042.58/289,298.73
  6. Step 6: Final answer
    x = 197,317.53

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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.