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Finding the Fourth Proportional to 345,738, 518,811.12 and 146,045.46

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Solution

The fourth proportional to 345,738, 518,811.12 and 146,045.46 is: 219,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,738 : 518,811.12 = 146,045.46 : x
  2. Step 2: Convert to fraction form
    345,738/518,811.12 = 146,045.46/x
  3. Step 3: Cross multiply
    345,738x = 518,811.12 × 146,045.46
  4. Step 4: Simplify right side
    345,738x = 75,770,008,673.52
  5. Step 5: Solve for x
    x = 75,770,008,673.52/345,738
  6. Step 6: Final answer
    x = 219,154.41

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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.