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Finding the Fourth Proportional to 435,159.68, 649,761.41 and 389,888.78

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Solution

The fourth proportional to 435,159.68, 649,761.41 and 389,888.78 is: 582,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,159.68 : 649,761.41 = 389,888.78 : x
  2. Step 2: Convert to fraction form
    435,159.68/649,761.41 = 389,888.78/x
  3. Step 3: Cross multiply
    435,159.68x = 649,761.41 × 389,888.78
  4. Step 4: Simplify right side
    435,159.68x = 253,334,683,110.94
  5. Step 5: Solve for x
    x = 253,334,683,110.94/435,159.68
  6. Step 6: Final answer
    x = 582,164.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.