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Finding the Fourth Proportional to 345,416.54, 518,194.67 and 145,737.36

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Solution

The fourth proportional to 345,416.54, 518,194.67 and 145,737.36 is: 218,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,416.54 : 518,194.67 = 145,737.36 : x
  2. Step 2: Convert to fraction form
    345,416.54/518,194.67 = 145,737.36/x
  3. Step 3: Cross multiply
    345,416.54x = 518,194.67 × 145,737.36
  4. Step 4: Simplify right side
    345,416.54x = 75,520,322,443.18
  5. Step 5: Solve for x
    x = 75,520,322,443.18/345,416.54
  6. Step 6: Final answer
    x = 218,635.52

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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.