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Finding the Fourth Proportional to 408,865.80, 613,298.70 and 184,479.60

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Solution

The fourth proportional to 408,865.80, 613,298.70 and 184,479.60 is: 276,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,865.80 : 613,298.70 = 184,479.60 : x
  2. Step 2: Convert to fraction form
    408,865.80/613,298.70 = 184,479.60/x
  3. Step 3: Cross multiply
    408,865.80x = 613,298.70 × 184,479.60
  4. Step 4: Simplify right side
    408,865.80x = 113,141,098,856.52
  5. Step 5: Solve for x
    x = 113,141,098,856.52/408,865.80
  6. Step 6: Final answer
    x = 276,719.40

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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.