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Finding the Fourth Proportional to 285,818.94, 394,411.41 and 158,490.18

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Solution

The fourth proportional to 285,818.94, 394,411.41 and 158,490.18 is: 218,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,818.94 : 394,411.41 = 158,490.18 : x
  2. Step 2: Convert to fraction form
    285,818.94/394,411.41 = 158,490.18/x
  3. Step 3: Cross multiply
    285,818.94x = 394,411.41 × 158,490.18
  4. Step 4: Simplify right side
    285,818.94x = 62,510,335,364.95
  5. Step 5: Solve for x
    x = 62,510,335,364.95/285,818.94
  6. Step 6: Final answer
    x = 218,706.06

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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.