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Finding the Fourth Proportional to 285,470.84, 393,921.06 and 158,122.64

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Solution

The fourth proportional to 285,470.84, 393,921.06 and 158,122.64 is: 218,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,470.84 : 393,921.06 = 158,122.64 : x
  2. Step 2: Convert to fraction form
    285,470.84/393,921.06 = 158,122.64/x
  3. Step 3: Cross multiply
    285,470.84x = 393,921.06 × 158,122.64
  4. Step 4: Simplify right side
    285,470.84x = 62,287,838,350.64
  5. Step 5: Solve for x
    x = 62,287,838,350.64/285,470.84
  6. Step 6: Final answer
    x = 218,193.35

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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.