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Finding the Fourth Proportional to 391,594.32, 540,487.08 and 221,922

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Solution

The fourth proportional to 391,594.32, 540,487.08 and 221,922 is: 306,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,594.32 : 540,487.08 = 221,922 : x
  2. Step 2: Convert to fraction form
    391,594.32/540,487.08 = 221,922/x
  3. Step 3: Cross multiply
    391,594.32x = 540,487.08 × 221,922
  4. Step 4: Simplify right side
    391,594.32x = 119,945,973,767.76
  5. Step 5: Solve for x
    x = 119,945,973,767.76/391,594.32
  6. Step 6: Final answer
    x = 306,301.62

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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.