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Finding the Fourth Proportional to 212,499.88, 317,195.14 and 187,278

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Solution

The fourth proportional to 212,499.88, 317,195.14 and 187,278 is: 279,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,499.88 : 317,195.14 = 187,278 : x
  2. Step 2: Convert to fraction form
    212,499.88/317,195.14 = 187,278/x
  3. Step 3: Cross multiply
    212,499.88x = 317,195.14 × 187,278
  4. Step 4: Simplify right side
    212,499.88x = 59,403,671,428.92
  5. Step 5: Solve for x
    x = 59,403,671,428.92/212,499.88
  6. Step 6: Final answer
    x = 279,546.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.