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Finding the Fourth Proportional to 312,401.39, 468,505.20 and 112,695.84

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Solution

The fourth proportional to 312,401.39, 468,505.20 and 112,695.84 is: 169,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,401.39 : 468,505.20 = 112,695.84 : x
  2. Step 2: Convert to fraction form
    312,401.39/468,505.20 = 112,695.84/x
  3. Step 3: Cross multiply
    312,401.39x = 468,505.20 × 112,695.84
  4. Step 4: Simplify right side
    312,401.39x = 52,798,587,058.37
  5. Step 5: Solve for x
    x = 52,798,587,058.37/312,401.39
  6. Step 6: Final answer
    x = 169,008.81

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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.