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Finding the Fourth Proportional to 428,042.68, 642,106.49 and 158,241.49

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Solution

The fourth proportional to 428,042.68, 642,106.49 and 158,241.49 is: 237,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,042.68 : 642,106.49 = 158,241.49 : x
  2. Step 2: Convert to fraction form
    428,042.68/642,106.49 = 158,241.49/x
  3. Step 3: Cross multiply
    428,042.68x = 642,106.49 × 158,241.49
  4. Step 4: Simplify right side
    428,042.68x = 101,607,885,319.80
  5. Step 5: Solve for x
    x = 101,607,885,319.80/428,042.68
  6. Step 6: Final answer
    x = 237,377.93

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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.