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Finding the Fourth Proportional to 313,482.43, 432,738.21 and 211,645.86

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Solution

The fourth proportional to 313,482.43, 432,738.21 and 211,645.86 is: 292,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,482.43 : 432,738.21 = 211,645.86 : x
  2. Step 2: Convert to fraction form
    313,482.43/432,738.21 = 211,645.86/x
  3. Step 3: Cross multiply
    313,482.43x = 432,738.21 × 211,645.86
  4. Step 4: Simplify right side
    313,482.43x = 91,587,250,610.31
  5. Step 5: Solve for x
    x = 91,587,250,610.31/313,482.43
  6. Step 6: Final answer
    x = 292,160.71

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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.