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Finding the Fourth Proportional to 284,471.25, 392,536.86 and 157,139.25

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Solution

The fourth proportional to 284,471.25, 392,536.86 and 157,139.25 is: 216,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,471.25 : 392,536.86 = 157,139.25 : x
  2. Step 2: Convert to fraction form
    284,471.25/392,536.86 = 157,139.25/x
  3. Step 3: Cross multiply
    284,471.25x = 392,536.86 × 157,139.25
  4. Step 4: Simplify right side
    284,471.25x = 61,682,947,777.76
  5. Step 5: Solve for x
    x = 61,682,947,777.76/284,471.25
  6. Step 6: Final answer
    x = 216,833.68

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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.