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Finding the Fourth Proportional to 261,788.89, 392,683.32 and 84,313.84

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Solution

The fourth proportional to 261,788.89, 392,683.32 and 84,313.84 is: 126,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,788.89 : 392,683.32 = 84,313.84 : x
  2. Step 2: Convert to fraction form
    261,788.89/392,683.32 = 84,313.84/x
  3. Step 3: Cross multiply
    261,788.89x = 392,683.32 × 84,313.84
  4. Step 4: Simplify right side
    261,788.89x = 33,108,638,613.15
  5. Step 5: Solve for x
    x = 33,108,638,613.15/261,788.89
  6. Step 6: Final answer
    x = 126,470.76

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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.