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Finding the Fourth Proportional to 284,781.44, 392,968.32 and 157,436.48

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Solution

The fourth proportional to 284,781.44, 392,968.32 and 157,436.48 is: 217,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,781.44 : 392,968.32 = 157,436.48 : x
  2. Step 2: Convert to fraction form
    284,781.44/392,968.32 = 157,436.48/x
  3. Step 3: Cross multiply
    284,781.44x = 392,968.32 × 157,436.48
  4. Step 4: Simplify right side
    284,781.44x = 61,867,549,052.31
  5. Step 5: Solve for x
    x = 61,867,549,052.31/284,781.44
  6. Step 6: Final answer
    x = 217,245.72

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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.