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Finding the Fourth Proportional to 312,782.31, 469,200.60 and 88,144.20

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Solution

The fourth proportional to 312,782.31, 469,200.60 and 88,144.20 is: 132,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,782.31 : 469,200.60 = 88,144.20 : x
  2. Step 2: Convert to fraction form
    312,782.31/469,200.60 = 88,144.20/x
  3. Step 3: Cross multiply
    312,782.31x = 469,200.60 × 88,144.20
  4. Step 4: Simplify right side
    312,782.31x = 41,357,311,526.52
  5. Step 5: Solve for x
    x = 41,357,311,526.52/312,782.31
  6. Step 6: Final answer
    x = 132,223.95

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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.