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Finding the Fourth Proportional to 272,578.34, 408,692.55 and 178,974.74

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Solution

The fourth proportional to 272,578.34, 408,692.55 and 178,974.74 is: 268,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,578.34 : 408,692.55 = 178,974.74 : x
  2. Step 2: Convert to fraction form
    272,578.34/408,692.55 = 178,974.74/x
  3. Step 3: Cross multiply
    272,578.34x = 408,692.55 × 178,974.74
  4. Step 4: Simplify right side
    272,578.34x = 73,145,642,876.19
  5. Step 5: Solve for x
    x = 73,145,642,876.19/272,578.34
  6. Step 6: Final answer
    x = 268,347.23

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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.