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Finding the Fourth Proportional to 240,780, 332,277.51 and 133,347.78

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Solution

The fourth proportional to 240,780, 332,277.51 and 133,347.78 is: 184,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,780 : 332,277.51 = 133,347.78 : x
  2. Step 2: Convert to fraction form
    240,780/332,277.51 = 133,347.78/x
  3. Step 3: Cross multiply
    240,780x = 332,277.51 × 133,347.78
  4. Step 4: Simplify right side
    240,780x = 44,308,468,302.43
  5. Step 5: Solve for x
    x = 44,308,468,302.43/240,780
  6. Step 6: Final answer
    x = 184,020.55

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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.