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Finding the Fourth Proportional to 278,390.90, 384,187.97 and 163,648.49

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Solution

The fourth proportional to 278,390.90, 384,187.97 and 163,648.49 is: 225,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,390.90 : 384,187.97 = 163,648.49 : x
  2. Step 2: Convert to fraction form
    278,390.90/384,187.97 = 163,648.49/x
  3. Step 3: Cross multiply
    278,390.90x = 384,187.97 × 163,648.49
  4. Step 4: Simplify right side
    278,390.90x = 62,871,781,166.67
  5. Step 5: Solve for x
    x = 62,871,781,166.67/278,390.90
  6. Step 6: Final answer
    x = 225,839.93

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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.