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Finding the Fourth Proportional to 284,719.50, 392,878.80 and 157,377.78

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Solution

The fourth proportional to 284,719.50, 392,878.80 and 157,377.78 is: 217,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,719.50 : 392,878.80 = 157,377.78 : x
  2. Step 2: Convert to fraction form
    284,719.50/392,878.80 = 157,377.78/x
  3. Step 3: Cross multiply
    284,719.50x = 392,878.80 × 157,377.78
  4. Step 4: Simplify right side
    284,719.50x = 61,830,393,353.06
  5. Step 5: Solve for x
    x = 61,830,393,353.06/284,719.50
  6. Step 6: Final answer
    x = 217,162.48

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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.