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Finding the Fourth Proportional to 285,680, 394,238.76 and 158,374.64

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Solution

The fourth proportional to 285,680, 394,238.76 and 158,374.64 is: 218,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,680 : 394,238.76 = 158,374.64 : x
  2. Step 2: Convert to fraction form
    285,680/394,238.76 = 158,374.64/x
  3. Step 3: Cross multiply
    285,680x = 394,238.76 × 158,374.64
  4. Step 4: Simplify right side
    285,680x = 62,437,421,689.05
  5. Step 5: Solve for x
    x = 62,437,421,689.05/285,680
  6. Step 6: Final answer
    x = 218,557.20

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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.