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Finding the Fourth Proportional to 438,357.49, 656,954.93 and 225,116.78

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Solution

The fourth proportional to 438,357.49, 656,954.93 and 225,116.78 is: 337,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,357.49 : 656,954.93 = 225,116.78 : x
  2. Step 2: Convert to fraction form
    438,357.49/656,954.93 = 225,116.78/x
  3. Step 3: Cross multiply
    438,357.49x = 656,954.93 × 225,116.78
  4. Step 4: Simplify right side
    438,357.49x = 147,891,575,724.74
  5. Step 5: Solve for x
    x = 147,891,575,724.74/438,357.49
  6. Step 6: Final answer
    x = 337,376.64

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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.