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Finding the Fourth Proportional to 312,425.68, 431,146.82 and 169,185.28

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Solution

The fourth proportional to 312,425.68, 431,146.82 and 169,185.28 is: 233,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,425.68 : 431,146.82 = 169,185.28 : x
  2. Step 2: Convert to fraction form
    312,425.68/431,146.82 = 169,185.28/x
  3. Step 3: Cross multiply
    312,425.68x = 431,146.82 × 169,185.28
  4. Step 4: Simplify right side
    312,425.68x = 72,943,695,462.81
  5. Step 5: Solve for x
    x = 72,943,695,462.81/312,425.68
  6. Step 6: Final answer
    x = 233,475.35

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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.