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Finding the Fourth Proportional to 265,390.38, 398,153 and 78,401.88

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Solution

The fourth proportional to 265,390.38, 398,153 and 78,401.88 is: 117,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,390.38 : 398,153 = 78,401.88 : x
  2. Step 2: Convert to fraction form
    265,390.38/398,153 = 78,401.88/x
  3. Step 3: Cross multiply
    265,390.38x = 398,153 × 78,401.88
  4. Step 4: Simplify right side
    265,390.38x = 31,215,943,727.64
  5. Step 5: Solve for x
    x = 31,215,943,727.64/265,390.38
  6. Step 6: Final answer
    x = 117,622.74

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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.