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Finding the Fourth Proportional to 345,441, 517,938.84 and 145,707.96

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Solution

The fourth proportional to 345,441, 517,938.84 and 145,707.96 is: 218,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,441 : 517,938.84 = 145,707.96 : x
  2. Step 2: Convert to fraction form
    345,441/517,938.84 = 145,707.96/x
  3. Step 3: Cross multiply
    345,441x = 517,938.84 × 145,707.96
  4. Step 4: Simplify right side
    345,441x = 75,467,811,781.17
  5. Step 5: Solve for x
    x = 75,467,811,781.17/345,441
  6. Step 6: Final answer
    x = 218,468.02

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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.