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Finding the Fourth Proportional to 487,832.70, 731,749.07 and 321,581.82

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Solution

The fourth proportional to 487,832.70, 731,749.07 and 321,581.82 is: 482,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,832.70 : 731,749.07 = 321,581.82 : x
  2. Step 2: Convert to fraction form
    487,832.70/731,749.07 = 321,581.82/x
  3. Step 3: Cross multiply
    487,832.70x = 731,749.07 × 321,581.82
  4. Step 4: Simplify right side
    487,832.70x = 235,317,197,713.91
  5. Step 5: Solve for x
    x = 235,317,197,713.91/487,832.70
  6. Step 6: Final answer
    x = 482,372.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.