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Finding the Fourth Proportional to 288,966.42, 398,773.62 and 161,641.98

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Solution

The fourth proportional to 288,966.42, 398,773.62 and 161,641.98 is: 223,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,966.42 : 398,773.62 = 161,641.98 : x
  2. Step 2: Convert to fraction form
    288,966.42/398,773.62 = 161,641.98/x
  3. Step 3: Cross multiply
    288,966.42x = 398,773.62 × 161,641.98
  4. Step 4: Simplify right side
    288,966.42x = 64,458,557,508.57
  5. Step 5: Solve for x
    x = 64,458,557,508.57/288,966.42
  6. Step 6: Final answer
    x = 223,065.91

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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.