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Finding the Fourth Proportional to 437,920.65, 656,824.38 and 138,431.45

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Solution

The fourth proportional to 437,920.65, 656,824.38 and 138,431.45 is: 207,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,920.65 : 656,824.38 = 138,431.45 : x
  2. Step 2: Convert to fraction form
    437,920.65/656,824.38 = 138,431.45/x
  3. Step 3: Cross multiply
    437,920.65x = 656,824.38 × 138,431.45
  4. Step 4: Simplify right side
    437,920.65x = 90,925,148,034.63
  5. Step 5: Solve for x
    x = 90,925,148,034.63/437,920.65
  6. Step 6: Final answer
    x = 207,629.28

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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.