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Finding the Fourth Proportional to 279,692.91, 385,976.25 and 152,368.56

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Solution

The fourth proportional to 279,692.91, 385,976.25 and 152,368.56 is: 210,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,692.91 : 385,976.25 = 152,368.56 : x
  2. Step 2: Convert to fraction form
    279,692.91/385,976.25 = 152,368.56/x
  3. Step 3: Cross multiply
    279,692.91x = 385,976.25 × 152,368.56
  4. Step 4: Simplify right side
    279,692.91x = 58,810,645,406.70
  5. Step 5: Solve for x
    x = 58,810,645,406.70/279,692.91
  6. Step 6: Final answer
    x = 210,268.63

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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.