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Finding the Fourth Proportional to 490,498.67, 677,073.13 and 286,615.85

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Solution

The fourth proportional to 490,498.67, 677,073.13 and 286,615.85 is: 395,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,498.67 : 677,073.13 = 286,615.85 : x
  2. Step 2: Convert to fraction form
    490,498.67/677,073.13 = 286,615.85/x
  3. Step 3: Cross multiply
    490,498.67x = 677,073.13 × 286,615.85
  4. Step 4: Simplify right side
    490,498.67x = 194,059,890,667.11
  5. Step 5: Solve for x
    x = 194,059,890,667.11/490,498.67
  6. Step 6: Final answer
    x = 395,637.95

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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.