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Finding the Fourth Proportional to 279,618.40, 385,878 and 152,296.48

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Solution

The fourth proportional to 279,618.40, 385,878 and 152,296.48 is: 210,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,618.40 : 385,878 = 152,296.48 : x
  2. Step 2: Convert to fraction form
    279,618.40/385,878 = 152,296.48/x
  3. Step 3: Cross multiply
    279,618.40x = 385,878 × 152,296.48
  4. Step 4: Simplify right side
    279,618.40x = 58,767,861,109.44
  5. Step 5: Solve for x
    x = 58,767,861,109.44/279,618.40
  6. Step 6: Final answer
    x = 210,171.65

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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.