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Finding the Fourth Proportional to 280,101.60, 386,572.90 and 159,261

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Solution

The fourth proportional to 280,101.60, 386,572.90 and 159,261 is: 219,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,101.60 : 386,572.90 = 159,261 : x
  2. Step 2: Convert to fraction form
    280,101.60/386,572.90 = 159,261/x
  3. Step 3: Cross multiply
    280,101.60x = 386,572.90 × 159,261
  4. Step 4: Simplify right side
    280,101.60x = 61,565,986,626.90
  5. Step 5: Solve for x
    x = 61,565,986,626.90/280,101.60
  6. Step 6: Final answer
    x = 219,798.77

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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.