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Finding the Fourth Proportional to 408,860.08, 613,082.76 and 187,054

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Solution

The fourth proportional to 408,860.08, 613,082.76 and 187,054 is: 280,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,860.08 : 613,082.76 = 187,054 : x
  2. Step 2: Convert to fraction form
    408,860.08/613,082.76 = 187,054/x
  3. Step 3: Cross multiply
    408,860.08x = 613,082.76 × 187,054
  4. Step 4: Simplify right side
    408,860.08x = 114,679,582,589.04
  5. Step 5: Solve for x
    x = 114,679,582,589.04/408,860.08
  6. Step 6: Final answer
    x = 280,486.13

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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.