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Finding the Fourth Proportional to 278,692.70, 384,593.81 and 151,369.20

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Solution

The fourth proportional to 278,692.70, 384,593.81 and 151,369.20 is: 208,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,692.70 : 384,593.81 = 151,369.20 : x
  2. Step 2: Convert to fraction form
    278,692.70/384,593.81 = 151,369.20/x
  3. Step 3: Cross multiply
    278,692.70x = 384,593.81 × 151,369.20
  4. Step 4: Simplify right side
    278,692.70x = 58,215,656,587.81
  5. Step 5: Solve for x
    x = 58,215,656,587.81/278,692.70
  6. Step 6: Final answer
    x = 208,888.35

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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.