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Finding the Fourth Proportional to 412,999.88, 619,132.80 and 146,725.28

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Solution

The fourth proportional to 412,999.88, 619,132.80 and 146,725.28 is: 219,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,999.88 : 619,132.80 = 146,725.28 : x
  2. Step 2: Convert to fraction form
    412,999.88/619,132.80 = 146,725.28/x
  3. Step 3: Cross multiply
    412,999.88x = 619,132.80 × 146,725.28
  4. Step 4: Simplify right side
    412,999.88x = 90,842,433,437.18
  5. Step 5: Solve for x
    x = 90,842,433,437.18/412,999.88
  6. Step 6: Final answer
    x = 219,957.53

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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.