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Finding the Fourth Proportional to 285,853.87, 394,475.60 and 156,789.66

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Solution

The fourth proportional to 285,853.87, 394,475.60 and 156,789.66 is: 216,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,853.87 : 394,475.60 = 156,789.66 : x
  2. Step 2: Convert to fraction form
    285,853.87/394,475.60 = 156,789.66/x
  3. Step 3: Cross multiply
    285,853.87x = 394,475.60 × 156,789.66
  4. Step 4: Simplify right side
    285,853.87x = 61,849,697,073.55
  5. Step 5: Solve for x
    x = 61,849,697,073.55/285,853.87
  6. Step 6: Final answer
    x = 216,368.23

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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.