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Finding the Fourth Proportional to 284,422.86, 392,470.11 and 157,090.86

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Solution

The fourth proportional to 284,422.86, 392,470.11 and 157,090.86 is: 216,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,422.86 : 392,470.11 = 157,090.86 : x
  2. Step 2: Convert to fraction form
    284,422.86/392,470.11 = 157,090.86/x
  3. Step 3: Cross multiply
    284,422.86x = 392,470.11 × 157,090.86
  4. Step 4: Simplify right side
    284,422.86x = 61,653,467,104.19
  5. Step 5: Solve for x
    x = 61,653,467,104.19/284,422.86
  6. Step 6: Final answer
    x = 216,766.92

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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.