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Finding the Fourth Proportional to 408,862.88, 563,991.62 and 265,718.26

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Solution

The fourth proportional to 408,862.88, 563,991.62 and 265,718.26 is: 366,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,862.88 : 563,991.62 = 265,718.26 : x
  2. Step 2: Convert to fraction form
    408,862.88/563,991.62 = 265,718.26/x
  3. Step 3: Cross multiply
    408,862.88x = 563,991.62 × 265,718.26
  4. Step 4: Simplify right side
    408,862.88x = 149,862,871,920.98
  5. Step 5: Solve for x
    x = 149,862,871,920.98/408,862.88
  6. Step 6: Final answer
    x = 366,535.77

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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.