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Finding the Fourth Proportional to 285,294.32, 393,718.36 and 157,969.80

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Solution

The fourth proportional to 285,294.32, 393,718.36 and 157,969.80 is: 218,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,294.32 : 393,718.36 = 157,969.80 : x
  2. Step 2: Convert to fraction form
    285,294.32/393,718.36 = 157,969.80/x
  3. Step 3: Cross multiply
    285,294.32x = 393,718.36 × 157,969.80
  4. Step 4: Simplify right side
    285,294.32x = 62,195,610,585.53
  5. Step 5: Solve for x
    x = 62,195,610,585.53/285,294.32
  6. Step 6: Final answer
    x = 218,005.08

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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.