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Finding the Fourth Proportional to 297,514.79, 410,469 and 190,146.76

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Solution

The fourth proportional to 297,514.79, 410,469 and 190,146.76 is: 262,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514.79 : 410,469 = 190,146.76 : x
  2. Step 2: Convert to fraction form
    297,514.79/410,469 = 190,146.76/x
  3. Step 3: Cross multiply
    297,514.79x = 410,469 × 190,146.76
  4. Step 4: Simplify right side
    297,514.79x = 78,049,350,430.44
  5. Step 5: Solve for x
    x = 78,049,350,430.44/297,514.79
  6. Step 6: Final answer
    x = 262,337.72

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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.