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Finding the Fourth Proportional to 291,987.60, 438,127.20 and 165,724.80

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Solution

The fourth proportional to 291,987.60, 438,127.20 and 165,724.80 is: 248,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,987.60 : 438,127.20 = 165,724.80 : x
  2. Step 2: Convert to fraction form
    291,987.60/438,127.20 = 165,724.80/x
  3. Step 3: Cross multiply
    291,987.60x = 438,127.20 × 165,724.80
  4. Step 4: Simplify right side
    291,987.60x = 72,608,542,594.56
  5. Step 5: Solve for x
    x = 72,608,542,594.56/291,987.60
  6. Step 6: Final answer
    x = 248,669.95

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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.