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Finding the Fourth Proportional to 284,872.40, 427,615.80 and 160,456.40

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Solution

The fourth proportional to 284,872.40, 427,615.80 and 160,456.40 is: 240,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,872.40 : 427,615.80 = 160,456.40 : x
  2. Step 2: Convert to fraction form
    284,872.40/427,615.80 = 160,456.40/x
  3. Step 3: Cross multiply
    284,872.40x = 427,615.80 × 160,456.40
  4. Step 4: Simplify right side
    284,872.40x = 68,613,691,851.12
  5. Step 5: Solve for x
    x = 68,613,691,851.12/284,872.40
  6. Step 6: Final answer
    x = 240,857.63

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1.5x scale

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.