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Finding the Fourth Proportional to 345,102.92, 517,740.32 and 274,292.72

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Solution

The fourth proportional to 345,102.92, 517,740.32 and 274,292.72 is: 411,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,102.92 : 517,740.32 = 274,292.72 : x
  2. Step 2: Convert to fraction form
    345,102.92/517,740.32 = 274,292.72/x
  3. Step 3: Cross multiply
    345,102.92x = 517,740.32 × 274,292.72
  4. Step 4: Simplify right side
    345,102.92x = 142,012,400,626.47
  5. Step 5: Solve for x
    x = 142,012,400,626.47/345,102.92
  6. Step 6: Final answer
    x = 411,507.39

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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.