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Finding the Fourth Proportional to 345,903.20, 518,566.80 and 146,376.80

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Solution

The fourth proportional to 345,903.20, 518,566.80 and 146,376.80 is: 219,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,903.20 : 518,566.80 = 146,376.80 : x
  2. Step 2: Convert to fraction form
    345,903.20/518,566.80 = 146,376.80/x
  3. Step 3: Cross multiply
    345,903.20x = 518,566.80 × 146,376.80
  4. Step 4: Simplify right side
    345,903.20x = 75,906,148,770.24
  5. Step 5: Solve for x
    x = 75,906,148,770.24/345,903.20
  6. Step 6: Final answer
    x = 219,443.33

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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.