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Finding the Fourth Proportional to 409,612.88, 565,372.68 and 266,764.88

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Solution

The fourth proportional to 409,612.88, 565,372.68 and 266,764.88 is: 368,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,612.88 : 565,372.68 = 266,764.88 : x
  2. Step 2: Convert to fraction form
    409,612.88/565,372.68 = 266,764.88/x
  3. Step 3: Cross multiply
    409,612.88x = 565,372.68 × 266,764.88
  4. Step 4: Simplify right side
    409,612.88x = 150,821,575,135.48
  5. Step 5: Solve for x
    x = 150,821,575,135.48/409,612.88
  6. Step 6: Final answer
    x = 368,205.16

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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.