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Finding the Fourth Proportional to 296,662.50, 409,446.90 and 286,819.38

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Solution

The fourth proportional to 296,662.50, 409,446.90 and 286,819.38 is: 395,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,662.50 : 409,446.90 = 286,819.38 : x
  2. Step 2: Convert to fraction form
    296,662.50/409,446.90 = 286,819.38/x
  3. Step 3: Cross multiply
    296,662.50x = 409,446.90 × 286,819.38
  4. Step 4: Simplify right side
    296,662.50x = 117,437,306,000.92
  5. Step 5: Solve for x
    x = 117,437,306,000.92/296,662.50
  6. Step 6: Final answer
    x = 395,861.65

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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.