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Finding the Fourth Proportional to 408,964.08, 613,238.64 and 187,158

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Solution

The fourth proportional to 408,964.08, 613,238.64 and 187,158 is: 280,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,964.08 : 613,238.64 = 187,158 : x
  2. Step 2: Convert to fraction form
    408,964.08/613,238.64 = 187,158/x
  3. Step 3: Cross multiply
    408,964.08x = 613,238.64 × 187,158
  4. Step 4: Simplify right side
    408,964.08x = 114,772,517,385.12
  5. Step 5: Solve for x
    x = 114,772,517,385.12/408,964.08
  6. Step 6: Final answer
    x = 280,642.05

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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.