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Finding the Fourth Proportional to 408,560.80, 612,843.93 and 142,326.35

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Solution

The fourth proportional to 408,560.80, 612,843.93 and 142,326.35 is: 213,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,560.80 : 612,843.93 = 142,326.35 : x
  2. Step 2: Convert to fraction form
    408,560.80/612,843.93 = 142,326.35/x
  3. Step 3: Cross multiply
    408,560.80x = 612,843.93 × 142,326.35
  4. Step 4: Simplify right side
    408,560.80x = 87,223,841,208.67
  5. Step 5: Solve for x
    x = 87,223,841,208.67/408,560.80
  6. Step 6: Final answer
    x = 213,490.48

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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.