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Finding the Fourth Proportional to 313,373.85, 469,739.01 and 123,757.35

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Solution

The fourth proportional to 313,373.85, 469,739.01 and 123,757.35 is: 185,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,373.85 : 469,739.01 = 123,757.35 : x
  2. Step 2: Convert to fraction form
    313,373.85/469,739.01 = 123,757.35/x
  3. Step 3: Cross multiply
    313,373.85x = 469,739.01 × 123,757.35
  4. Step 4: Simplify right side
    313,373.85x = 58,133,655,069.22
  5. Step 5: Solve for x
    x = 58,133,655,069.22/313,373.85
  6. Step 6: Final answer
    x = 185,508.95

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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.