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Finding the Fourth Proportional to 458,378.63, 687,690.22 and 158,858.96

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Solution

The fourth proportional to 458,378.63, 687,690.22 and 158,858.96 is: 238,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,378.63 : 687,690.22 = 158,858.96 : x
  2. Step 2: Convert to fraction form
    458,378.63/687,690.22 = 158,858.96/x
  3. Step 3: Cross multiply
    458,378.63x = 687,690.22 × 158,858.96
  4. Step 4: Simplify right side
    458,378.63x = 109,245,749,712.92
  5. Step 5: Solve for x
    x = 109,245,749,712.92/458,378.63
  6. Step 6: Final answer
    x = 238,330.81

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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.