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Finding the Fourth Proportional to 409,865.11, 565,420.82 and 266,572.87

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Solution

The fourth proportional to 409,865.11, 565,420.82 and 266,572.87 is: 367,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,865.11 : 565,420.82 = 266,572.87 : x
  2. Step 2: Convert to fraction form
    409,865.11/565,420.82 = 266,572.87/x
  3. Step 3: Cross multiply
    409,865.11x = 565,420.82 × 266,572.87
  4. Step 4: Simplify right side
    409,865.11x = 150,725,847,998.74
  5. Step 5: Solve for x
    x = 150,725,847,998.74/409,865.11
  6. Step 6: Final answer
    x = 367,745.01

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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.