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Finding the Fourth Proportional to 285,898, 394,529.12 and 158,585.44

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Solution

The fourth proportional to 285,898, 394,529.12 and 158,585.44 is: 218,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,898 : 394,529.12 = 158,585.44 : x
  2. Step 2: Convert to fraction form
    285,898/394,529.12 = 158,585.44/x
  3. Step 3: Cross multiply
    285,898x = 394,529.12 × 158,585.44
  4. Step 4: Simplify right side
    285,898x = 62,566,574,088.01
  5. Step 5: Solve for x
    x = 62,566,574,088.01/285,898
  6. Step 6: Final answer
    x = 218,842.29

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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.