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Finding the Fourth Proportional to 267,399.02, 400,323.06 and 208,054.78

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Solution

The fourth proportional to 267,399.02, 400,323.06 and 208,054.78 is: 311,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,399.02 : 400,323.06 = 208,054.78 : x
  2. Step 2: Convert to fraction form
    267,399.02/400,323.06 = 208,054.78/x
  3. Step 3: Cross multiply
    267,399.02x = 400,323.06 × 208,054.78
  4. Step 4: Simplify right side
    267,399.02x = 83,289,125,176.42
  5. Step 5: Solve for x
    x = 83,289,125,176.42/267,399.02
  6. Step 6: Final answer
    x = 311,478.79

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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.