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Finding the Fourth Proportional to 342,388.64, 472,647.68 and 204,616.20

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Solution

The fourth proportional to 342,388.64, 472,647.68 and 204,616.20 is: 282,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,388.64 : 472,647.68 = 204,616.20 : x
  2. Step 2: Convert to fraction form
    342,388.64/472,647.68 = 204,616.20/x
  3. Step 3: Cross multiply
    342,388.64x = 472,647.68 × 204,616.20
  4. Step 4: Simplify right side
    342,388.64x = 96,711,372,731.96
  5. Step 5: Solve for x
    x = 96,711,372,731.96/342,388.64
  6. Step 6: Final answer
    x = 282,460.81

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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.