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Finding the Fourth Proportional to 284,660.26, 392,824.31 and 155,592.92

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Solution

The fourth proportional to 284,660.26, 392,824.31 and 155,592.92 is: 214,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,660.26 : 392,824.31 = 155,592.92 : x
  2. Step 2: Convert to fraction form
    284,660.26/392,824.31 = 155,592.92/x
  3. Step 3: Cross multiply
    284,660.26x = 392,824.31 × 155,592.92
  4. Step 4: Simplify right side
    284,660.26x = 61,120,681,643.98
  5. Step 5: Solve for x
    x = 61,120,681,643.98/284,660.26
  6. Step 6: Final answer
    x = 214,714.49

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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.