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Finding the Fourth Proportional to 503,896.80, 695,351.34 and 312,906.12

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Solution

The fourth proportional to 503,896.80, 695,351.34 and 312,906.12 is: 431,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,896.80 : 695,351.34 = 312,906.12 : x
  2. Step 2: Convert to fraction form
    503,896.80/695,351.34 = 312,906.12/x
  3. Step 3: Cross multiply
    503,896.80x = 695,351.34 × 312,906.12
  4. Step 4: Simplify right side
    503,896.80x = 217,579,689,836.20
  5. Step 5: Solve for x
    x = 217,579,689,836.20/503,896.80
  6. Step 6: Final answer
    x = 431,794.15

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1.5x scale

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.