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Finding the Fourth Proportional to 331,978.08, 457,999.20 and 204,432.24

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Solution

The fourth proportional to 331,978.08, 457,999.20 and 204,432.24 is: 282,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,978.08 : 457,999.20 = 204,432.24 : x
  2. Step 2: Convert to fraction form
    331,978.08/457,999.20 = 204,432.24/x
  3. Step 3: Cross multiply
    331,978.08x = 457,999.20 × 204,432.24
  4. Step 4: Simplify right side
    331,978.08x = 93,629,802,374.21
  5. Step 5: Solve for x
    x = 93,629,802,374.21/331,978.08
  6. Step 6: Final answer
    x = 282,036.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.