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Finding the Fourth Proportional to 285,898.16, 394,586.70 and 158,614.76

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Solution

The fourth proportional to 285,898.16, 394,586.70 and 158,614.76 is: 218,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,898.16 : 394,586.70 = 158,614.76 : x
  2. Step 2: Convert to fraction form
    285,898.16/394,586.70 = 158,614.76/x
  3. Step 3: Cross multiply
    285,898.16x = 394,586.70 × 158,614.76
  4. Step 4: Simplify right side
    285,898.16x = 62,587,274,719.69
  5. Step 5: Solve for x
    x = 62,587,274,719.69/285,898.16
  6. Step 6: Final answer
    x = 218,914.58

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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.