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Finding the Fourth Proportional to 280,584,616.60, 420,876,924.90 and 159,652,264.60

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Solution

The fourth proportional to 280,584,616.60, 420,876,924.90 and 159,652,264.60 is: 239,478,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584,616.60 : 420,876,924.90 = 159,652,264.60 : x
  2. Step 2: Convert to fraction form
    280,584,616.60/420,876,924.90 = 159,652,264.60/x
  3. Step 3: Cross multiply
    280,584,616.60x = 420,876,924.90 × 159,652,264.60
  4. Step 4: Simplify right side
    280,584,616.60x = 67,193,954,178,169,120
  5. Step 5: Solve for x
    x = 67,193,954,178,169,120/280,584,616.60
  6. Step 6: Final answer
    x = 239,478,396.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.