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Finding the Fourth Proportional to 409,578.64, 565,222.28 and 225,823.80

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Solution

The fourth proportional to 409,578.64, 565,222.28 and 225,823.80 is: 311,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,578.64 : 565,222.28 = 225,823.80 : x
  2. Step 2: Convert to fraction form
    409,578.64/565,222.28 = 225,823.80/x
  3. Step 3: Cross multiply
    409,578.64x = 565,222.28 × 225,823.80
  4. Step 4: Simplify right side
    409,578.64x = 127,640,643,114.26
  5. Step 5: Solve for x
    x = 127,640,643,114.26/409,578.64
  6. Step 6: Final answer
    x = 311,638.92

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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.