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Finding the Fourth Proportional to 285,597.10, 394,139.69 and 158,269.96

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Solution

The fourth proportional to 285,597.10, 394,139.69 and 158,269.96 is: 218,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,597.10 : 394,139.69 = 158,269.96 : x
  2. Step 2: Convert to fraction form
    285,597.10/394,139.69 = 158,269.96/x
  3. Step 3: Cross multiply
    285,597.10x = 394,139.69 × 158,269.96
  4. Step 4: Simplify right side
    285,597.10x = 62,380,472,970.71
  5. Step 5: Solve for x
    x = 62,380,472,970.71/285,597.10
  6. Step 6: Final answer
    x = 218,421.24

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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.