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Finding the Fourth Proportional to 345,073.88, 476,212.46 and 187,920.13

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Solution

The fourth proportional to 345,073.88, 476,212.46 and 187,920.13 is: 259,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,073.88 : 476,212.46 = 187,920.13 : x
  2. Step 2: Convert to fraction form
    345,073.88/476,212.46 = 187,920.13/x
  3. Step 3: Cross multiply
    345,073.88x = 476,212.46 × 187,920.13
  4. Step 4: Simplify right side
    345,073.88x = 89,489,905,260.69
  5. Step 5: Solve for x
    x = 89,489,905,260.69/345,073.88
  6. Step 6: Final answer
    x = 259,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.