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Finding the Fourth Proportional to 312,550.84, 431,319.22 and 176,584.74

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Solution

The fourth proportional to 312,550.84, 431,319.22 and 176,584.74 is: 243,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,550.84 : 431,319.22 = 176,584.74 : x
  2. Step 2: Convert to fraction form
    312,550.84/431,319.22 = 176,584.74/x
  3. Step 3: Cross multiply
    312,550.84x = 431,319.22 × 176,584.74
  4. Step 4: Simplify right side
    312,550.84x = 76,164,392,320.70
  5. Step 5: Solve for x
    x = 76,164,392,320.70/312,550.84
  6. Step 6: Final answer
    x = 243,686.41

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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.