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Finding the Fourth Proportional to 279,035.21, 385,081.75 and 158,178.84

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Solution

The fourth proportional to 279,035.21, 385,081.75 and 158,178.84 is: 218,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,035.21 : 385,081.75 = 158,178.84 : x
  2. Step 2: Convert to fraction form
    279,035.21/385,081.75 = 158,178.84/x
  3. Step 3: Cross multiply
    279,035.21x = 385,081.75 × 158,178.84
  4. Step 4: Simplify right side
    279,035.21x = 60,911,784,520.17
  5. Step 5: Solve for x
    x = 60,911,784,520.17/279,035.21
  6. Step 6: Final answer
    x = 218,294.26

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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.