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Finding the Fourth Proportional to 650,696.88, 976,675.50 and 313,974.30

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Solution

The fourth proportional to 650,696.88, 976,675.50 and 313,974.30 is: 471,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,696.88 : 976,675.50 = 313,974.30 : x
  2. Step 2: Convert to fraction form
    650,696.88/976,675.50 = 313,974.30/x
  3. Step 3: Cross multiply
    650,696.88x = 976,675.50 × 313,974.30
  4. Step 4: Simplify right side
    650,696.88x = 306,651,006,439.65
  5. Step 5: Solve for x
    x = 306,651,006,439.65/650,696.88
  6. Step 6: Final answer
    x = 471,265.52

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1.5x scale

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.