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Finding the Fourth Proportional to 409,254.26, 564,857.98 and 275,040.50

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Solution

The fourth proportional to 409,254.26, 564,857.98 and 275,040.50 is: 379,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,254.26 : 564,857.98 = 275,040.50 : x
  2. Step 2: Convert to fraction form
    409,254.26/564,857.98 = 275,040.50/x
  3. Step 3: Cross multiply
    409,254.26x = 564,857.98 × 275,040.50
  4. Step 4: Simplify right side
    409,254.26x = 155,358,821,248.19
  5. Step 5: Solve for x
    x = 155,358,821,248.19/409,254.26
  6. Step 6: Final answer
    x = 379,614.43

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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.