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Finding the Fourth Proportional to 313,474.60, 432,727.38 and 211,638.01

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Solution

The fourth proportional to 313,474.60, 432,727.38 and 211,638.01 is: 292,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,474.60 : 432,727.38 = 211,638.01 : x
  2. Step 2: Convert to fraction form
    313,474.60/432,727.38 = 211,638.01/x
  3. Step 3: Cross multiply
    313,474.60x = 432,727.38 × 211,638.01
  4. Step 4: Simplify right side
    313,474.60x = 91,581,561,575.71
  5. Step 5: Solve for x
    x = 91,581,561,575.71/313,474.60
  6. Step 6: Final answer
    x = 292,149.86

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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.