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Finding the Fourth Proportional to 391,541.20, 540,198.34 and 219,434

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Solution

The fourth proportional to 391,541.20, 540,198.34 and 219,434 is: 302,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,541.20 : 540,198.34 = 219,434 : x
  2. Step 2: Convert to fraction form
    391,541.20/540,198.34 = 219,434/x
  3. Step 3: Cross multiply
    391,541.20x = 540,198.34 × 219,434
  4. Step 4: Simplify right side
    391,541.20x = 118,537,882,539.56
  5. Step 5: Solve for x
    x = 118,537,882,539.56/391,541.20
  6. Step 6: Final answer
    x = 302,746.89

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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.