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Finding the Fourth Proportional to 288,825.16, 433,053.16 and 138,766.92

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Solution

The fourth proportional to 288,825.16, 433,053.16 and 138,766.92 is: 208,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,825.16 : 433,053.16 = 138,766.92 : x
  2. Step 2: Convert to fraction form
    288,825.16/433,053.16 = 138,766.92/x
  3. Step 3: Cross multiply
    288,825.16x = 433,053.16 × 138,766.92
  4. Step 4: Simplify right side
    288,825.16x = 60,093,453,209.47
  5. Step 5: Solve for x
    x = 60,093,453,209.47/288,825.16
  6. Step 6: Final answer
    x = 208,061.70

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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.