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Finding the Fourth Proportional to 409,616.88, 565,378.20 and 266,768.88

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Solution

The fourth proportional to 409,616.88, 565,378.20 and 266,768.88 is: 368,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,616.88 : 565,378.20 = 266,768.88 : x
  2. Step 2: Convert to fraction form
    409,616.88/565,378.20 = 266,768.88/x
  3. Step 3: Cross multiply
    409,616.88x = 565,378.20 × 266,768.88
  4. Step 4: Simplify right side
    409,616.88x = 150,825,309,190.42
  5. Step 5: Solve for x
    x = 150,825,309,190.42/409,616.88
  6. Step 6: Final answer
    x = 368,210.68

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1.5x scale

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.