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Finding the Fourth Proportional to 345,498.75, 518,319.81 and 145,820.79

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Solution

The fourth proportional to 345,498.75, 518,319.81 and 145,820.79 is: 218,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,498.75 : 518,319.81 = 145,820.79 : x
  2. Step 2: Convert to fraction form
    345,498.75/518,319.81 = 145,820.79/x
  3. Step 3: Cross multiply
    345,498.75x = 518,319.81 × 145,820.79
  4. Step 4: Simplify right side
    345,498.75x = 75,581,804,166.85
  5. Step 5: Solve for x
    x = 75,581,804,166.85/345,498.75
  6. Step 6: Final answer
    x = 218,761.44

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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.