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Finding the Fourth Proportional to 432,724.52, 649,141.48 and 148,338

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Solution

The fourth proportional to 432,724.52, 649,141.48 and 148,338 is: 222,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,724.52 : 649,141.48 = 148,338 : x
  2. Step 2: Convert to fraction form
    432,724.52/649,141.48 = 148,338/x
  3. Step 3: Cross multiply
    432,724.52x = 649,141.48 × 148,338
  4. Step 4: Simplify right side
    432,724.52x = 96,292,348,860.24
  5. Step 5: Solve for x
    x = 96,292,348,860.24/432,724.52
  6. Step 6: Final answer
    x = 222,525.75

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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.