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Finding the Fourth Proportional to 299,638.32, 413,007.16 and 212,451.76

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Solution

The fourth proportional to 299,638.32, 413,007.16 and 212,451.76 is: 292,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,638.32 : 413,007.16 = 212,451.76 : x
  2. Step 2: Convert to fraction form
    299,638.32/413,007.16 = 212,451.76/x
  3. Step 3: Cross multiply
    299,638.32x = 413,007.16 × 212,451.76
  4. Step 4: Simplify right side
    299,638.32x = 87,744,098,034.60
  5. Step 5: Solve for x
    x = 87,744,098,034.60/299,638.32
  6. Step 6: Final answer
    x = 292,833.37

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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.