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Finding the Fourth Proportional to 345,858.39, 518,947.92 and 146,225.34

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Solution

The fourth proportional to 345,858.39, 518,947.92 and 146,225.34 is: 219,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,858.39 : 518,947.92 = 146,225.34 : x
  2. Step 2: Convert to fraction form
    345,858.39/518,947.92 = 146,225.34/x
  3. Step 3: Cross multiply
    345,858.39x = 518,947.92 × 146,225.34
  4. Step 4: Simplify right side
    345,858.39x = 75,883,336,044.29
  5. Step 5: Solve for x
    x = 75,883,336,044.29/345,858.39
  6. Step 6: Final answer
    x = 219,405.80

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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.