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Finding the Fourth Proportional to 288,725.73, 433,163.34 and 89,041.71

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Solution

The fourth proportional to 288,725.73, 433,163.34 and 89,041.71 is: 133,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,725.73 : 433,163.34 = 89,041.71 : x
  2. Step 2: Convert to fraction form
    288,725.73/433,163.34 = 89,041.71/x
  3. Step 3: Cross multiply
    288,725.73x = 433,163.34 × 89,041.71
  4. Step 4: Simplify right side
    288,725.73x = 38,569,604,502.91
  5. Step 5: Solve for x
    x = 38,569,604,502.91/288,725.73
  6. Step 6: Final answer
    x = 133,585.62

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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.