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Finding the Fourth Proportional to 261,294, 391,942.92 and 64,302

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Solution

The fourth proportional to 261,294, 391,942.92 and 64,302 is: 96,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,294 : 391,942.92 = 64,302 : x
  2. Step 2: Convert to fraction form
    261,294/391,942.92 = 64,302/x
  3. Step 3: Cross multiply
    261,294x = 391,942.92 × 64,302
  4. Step 4: Simplify right side
    261,294x = 25,202,713,641.84
  5. Step 5: Solve for x
    x = 25,202,713,641.84/261,294
  6. Step 6: Final answer
    x = 96,453.47

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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.