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Finding the Fourth Proportional to 458,687.72, 632,687.46 and 288,779.24

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Solution

The fourth proportional to 458,687.72, 632,687.46 and 288,779.24 is: 398,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,687.72 : 632,687.46 = 288,779.24 : x
  2. Step 2: Convert to fraction form
    458,687.72/632,687.46 = 288,779.24/x
  3. Step 3: Cross multiply
    458,687.72x = 632,687.46 × 288,779.24
  4. Step 4: Simplify right side
    458,687.72x = 182,707,003,856.33
  5. Step 5: Solve for x
    x = 182,707,003,856.33/458,687.72
  6. Step 6: Final answer
    x = 398,325.47

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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.