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Finding the Fourth Proportional to 342,016.48, 471,988.32 and 198,724.24

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Solution

The fourth proportional to 342,016.48, 471,988.32 and 198,724.24 is: 274,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,016.48 : 471,988.32 = 198,724.24 : x
  2. Step 2: Convert to fraction form
    342,016.48/471,988.32 = 198,724.24/x
  3. Step 3: Cross multiply
    342,016.48x = 471,988.32 × 198,724.24
  4. Step 4: Simplify right side
    342,016.48x = 93,795,520,180.88
  5. Step 5: Solve for x
    x = 93,795,520,180.88/342,016.48
  6. Step 6: Final answer
    x = 274,242.69

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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.