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Finding the Fourth Proportional to 312,412.26, 431,129.13 and 169,172.88

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Solution

The fourth proportional to 312,412.26, 431,129.13 and 169,172.88 is: 233,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,412.26 : 431,129.13 = 169,172.88 : x
  2. Step 2: Convert to fraction form
    312,412.26/431,129.13 = 169,172.88/x
  3. Step 3: Cross multiply
    312,412.26x = 431,129.13 × 169,172.88
  4. Step 4: Simplify right side
    312,412.26x = 72,935,356,573.99
  5. Step 5: Solve for x
    x = 72,935,356,573.99/312,412.26
  6. Step 6: Final answer
    x = 233,458.69

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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.