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Finding the Fourth Proportional to 451,873.60, 677,680.80 and 136,254.40

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Solution

The fourth proportional to 451,873.60, 677,680.80 and 136,254.40 is: 204,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,873.60 : 677,680.80 = 136,254.40 : x
  2. Step 2: Convert to fraction form
    451,873.60/677,680.80 = 136,254.40/x
  3. Step 3: Cross multiply
    451,873.60x = 677,680.80 × 136,254.40
  4. Step 4: Simplify right side
    451,873.60x = 92,336,990,795.52
  5. Step 5: Solve for x
    x = 92,336,990,795.52/451,873.60
  6. Step 6: Final answer
    x = 204,342.52

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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.