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Finding the Fourth Proportional to 285,301.25, 393,710.91 and 157,974.11

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Solution

The fourth proportional to 285,301.25, 393,710.91 and 157,974.11 is: 218,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,301.25 : 393,710.91 = 157,974.11 : x
  2. Step 2: Convert to fraction form
    285,301.25/393,710.91 = 157,974.11/x
  3. Step 3: Cross multiply
    285,301.25x = 393,710.91 × 157,974.11
  4. Step 4: Simplify right side
    285,301.25x = 62,196,128,635.99
  5. Step 5: Solve for x
    x = 62,196,128,635.99/285,301.25
  6. Step 6: Final answer
    x = 218,001.60

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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.