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Finding the Fourth Proportional to 306,432.57, 459,648.93 and 81,793.86

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Solution

The fourth proportional to 306,432.57, 459,648.93 and 81,793.86 is: 122,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,432.57 : 459,648.93 = 81,793.86 : x
  2. Step 2: Convert to fraction form
    306,432.57/459,648.93 = 81,793.86/x
  3. Step 3: Cross multiply
    306,432.57x = 459,648.93 × 81,793.86
  4. Step 4: Simplify right side
    306,432.57x = 37,596,460,229.57
  5. Step 5: Solve for x
    x = 37,596,460,229.57/306,432.57
  6. Step 6: Final answer
    x = 122,690.81

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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.