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Finding the Fourth Proportional to 285,277.68, 393,696.72 and 172,098

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Solution

The fourth proportional to 285,277.68, 393,696.72 and 172,098 is: 237,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277.68 : 393,696.72 = 172,098 : x
  2. Step 2: Convert to fraction form
    285,277.68/393,696.72 = 172,098/x
  3. Step 3: Cross multiply
    285,277.68x = 393,696.72 × 172,098
  4. Step 4: Simplify right side
    285,277.68x = 67,754,418,118.56
  5. Step 5: Solve for x
    x = 67,754,418,118.56/285,277.68
  6. Step 6: Final answer
    x = 237,503.40

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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.