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Finding the Fourth Proportional to 354,695.28, 489,464.28 and 193,546.32

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Solution

The fourth proportional to 354,695.28, 489,464.28 and 193,546.32 is: 267,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,695.28 : 489,464.28 = 193,546.32 : x
  2. Step 2: Convert to fraction form
    354,695.28/489,464.28 = 193,546.32/x
  3. Step 3: Cross multiply
    354,695.28x = 489,464.28 × 193,546.32
  4. Step 4: Simplify right side
    354,695.28x = 94,734,010,165.45
  5. Step 5: Solve for x
    x = 94,734,010,165.45/354,695.28
  6. Step 6: Final answer
    x = 267,085.62

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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.