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Finding the Fourth Proportional to 268,402.84, 402,504.63 and 78,811

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Solution

The fourth proportional to 268,402.84, 402,504.63 and 78,811 is: 118,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,402.84 : 402,504.63 = 78,811 : x
  2. Step 2: Convert to fraction form
    268,402.84/402,504.63 = 78,811/x
  3. Step 3: Cross multiply
    268,402.84x = 402,504.63 × 78,811
  4. Step 4: Simplify right side
    268,402.84x = 31,721,792,394.93
  5. Step 5: Solve for x
    x = 31,721,792,394.93/268,402.84
  6. Step 6: Final answer
    x = 118,187.25

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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.