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Finding the Fourth Proportional to 284,781.12, 392,982.24 and 157,449.12

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Solution

The fourth proportional to 284,781.12, 392,982.24 and 157,449.12 is: 217,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,781.12 : 392,982.24 = 157,449.12 : x
  2. Step 2: Convert to fraction form
    284,781.12/392,982.24 = 157,449.12/x
  3. Step 3: Cross multiply
    284,781.12x = 392,982.24 × 157,449.12
  4. Step 4: Simplify right side
    284,781.12x = 61,874,707,863.63
  5. Step 5: Solve for x
    x = 61,874,707,863.63/284,781.12
  6. Step 6: Final answer
    x = 217,271.10

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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.