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Finding the Fourth Proportional to 312,494.40, 431,268.84 and 176,553.24

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Solution

The fourth proportional to 312,494.40, 431,268.84 and 176,553.24 is: 243,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,494.40 : 431,268.84 = 176,553.24 : x
  2. Step 2: Convert to fraction form
    312,494.40/431,268.84 = 176,553.24/x
  3. Step 3: Cross multiply
    312,494.40x = 431,268.84 × 176,553.24
  4. Step 4: Simplify right side
    312,494.40x = 76,141,911,013.04
  5. Step 5: Solve for x
    x = 76,141,911,013.04/312,494.40
  6. Step 6: Final answer
    x = 243,658.48

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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.