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Finding the Fourth Proportional to 312,414.95, 431,134.67 and 169,175.00

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Solution

The fourth proportional to 312,414.95, 431,134.67 and 169,175.00 is: 233,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,414.95 : 431,134.67 = 169,175.00 : x
  2. Step 2: Convert to fraction form
    312,414.95/431,134.67 = 169,175.00/x
  3. Step 3: Cross multiply
    312,414.95x = 431,134.67 × 169,175.00
  4. Step 4: Simplify right side
    312,414.95x = 72,937,206,064.51
  5. Step 5: Solve for x
    x = 72,937,206,064.51/312,414.95
  6. Step 6: Final answer
    x = 233,462.60

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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.