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Finding the Fourth Proportional to 416,865.60, 625,298.40 and 136,411.20

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Solution

The fourth proportional to 416,865.60, 625,298.40 and 136,411.20 is: 204,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,865.60 : 625,298.40 = 136,411.20 : x
  2. Step 2: Convert to fraction form
    416,865.60/625,298.40 = 136,411.20/x
  3. Step 3: Cross multiply
    416,865.60x = 625,298.40 × 136,411.20
  4. Step 4: Simplify right side
    416,865.60x = 85,297,705,102.08
  5. Step 5: Solve for x
    x = 85,297,705,102.08/416,865.60
  6. Step 6: Final answer
    x = 204,616.80

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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.