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Finding the Fourth Proportional to 284,872.74, 393,117.67 and 157,545.60

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Solution

The fourth proportional to 284,872.74, 393,117.67 and 157,545.60 is: 217,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,872.74 : 393,117.67 = 157,545.60 : x
  2. Step 2: Convert to fraction form
    284,872.74/393,117.67 = 157,545.60/x
  3. Step 3: Cross multiply
    284,872.74x = 393,117.67 × 157,545.60
  4. Step 4: Simplify right side
    284,872.74x = 61,933,959,190.75
  5. Step 5: Solve for x
    x = 61,933,959,190.75/284,872.74
  6. Step 6: Final answer
    x = 217,409.22

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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.