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Finding the Fourth Proportional to 345,955.74, 518,955.48 and 146,238.90

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Solution

The fourth proportional to 345,955.74, 518,955.48 and 146,238.90 is: 219,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,955.74 : 518,955.48 = 146,238.90 : x
  2. Step 2: Convert to fraction form
    345,955.74/518,955.48 = 146,238.90/x
  3. Step 3: Cross multiply
    345,955.74x = 518,955.48 × 146,238.90
  4. Step 4: Simplify right side
    345,955.74x = 75,891,478,544.17
  5. Step 5: Solve for x
    x = 75,891,478,544.17/345,955.74
  6. Step 6: Final answer
    x = 219,367.59

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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.