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Finding the Fourth Proportional to 471,915.72, 707,481.74 and 187,430.76

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Solution

The fourth proportional to 471,915.72, 707,481.74 and 187,430.76 is: 280,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,915.72 : 707,481.74 = 187,430.76 : x
  2. Step 2: Convert to fraction form
    471,915.72/707,481.74 = 187,430.76/x
  3. Step 3: Cross multiply
    471,915.72x = 707,481.74 × 187,430.76
  4. Step 4: Simplify right side
    471,915.72x = 132,603,840,682.90
  5. Step 5: Solve for x
    x = 132,603,840,682.90/471,915.72
  6. Step 6: Final answer
    x = 280,990.51

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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.