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Finding the Fourth Proportional to 284,702.44, 392,859.30 and 157,357.48

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Solution

The fourth proportional to 284,702.44, 392,859.30 and 157,357.48 is: 217,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,702.44 : 392,859.30 = 157,357.48 : x
  2. Step 2: Convert to fraction form
    284,702.44/392,859.30 = 157,357.48/x
  3. Step 3: Cross multiply
    284,702.44x = 392,859.30 × 157,357.48
  4. Step 4: Simplify right side
    284,702.44x = 61,819,349,442.56
  5. Step 5: Solve for x
    x = 61,819,349,442.56/284,702.44
  6. Step 6: Final answer
    x = 217,136.70

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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.