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Finding the Fourth Proportional to 313,402.80, 431,896.68 and 307,644.24

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Solution

The fourth proportional to 313,402.80, 431,896.68 and 307,644.24 is: 423,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,402.80 : 431,896.68 = 307,644.24 : x
  2. Step 2: Convert to fraction form
    313,402.80/431,896.68 = 307,644.24/x
  3. Step 3: Cross multiply
    313,402.80x = 431,896.68 × 307,644.24
  4. Step 4: Simplify right side
    313,402.80x = 132,870,525,877.12
  5. Step 5: Solve for x
    x = 132,870,525,877.12/313,402.80
  6. Step 6: Final answer
    x = 423,960.88

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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.