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Finding the Fourth Proportional to 312,589, 431,381.64 and 176,628.70

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Solution

The fourth proportional to 312,589, 431,381.64 and 176,628.70 is: 243,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,589 : 431,381.64 = 176,628.70 : x
  2. Step 2: Convert to fraction form
    312,589/431,381.64 = 176,628.70/x
  3. Step 3: Cross multiply
    312,589x = 431,381.64 × 176,628.70
  4. Step 4: Simplify right side
    312,589x = 76,194,378,277.07
  5. Step 5: Solve for x
    x = 76,194,378,277.07/312,589
  6. Step 6: Final answer
    x = 243,752.59

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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.