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Finding the Fourth Proportional to 457,084.96, 685,710.96 and 141,520.48

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Solution

The fourth proportional to 457,084.96, 685,710.96 and 141,520.48 is: 212,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,084.96 : 685,710.96 = 141,520.48 : x
  2. Step 2: Convert to fraction form
    457,084.96/685,710.96 = 141,520.48/x
  3. Step 3: Cross multiply
    457,084.96x = 685,710.96 × 141,520.48
  4. Step 4: Simplify right side
    457,084.96x = 97,042,144,200.46
  5. Step 5: Solve for x
    x = 97,042,144,200.46/457,084.96
  6. Step 6: Final answer
    x = 212,306.58

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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.