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Finding the Fourth Proportional to 565,266.80, 780,111.64 and 323,625.20

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Solution

The fourth proportional to 565,266.80, 780,111.64 and 323,625.20 is: 446,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,266.80 : 780,111.64 = 323,625.20 : x
  2. Step 2: Convert to fraction form
    565,266.80/780,111.64 = 323,625.20/x
  3. Step 3: Cross multiply
    565,266.80x = 780,111.64 × 323,625.20
  4. Step 4: Simplify right side
    565,266.80x = 252,463,785,517.33
  5. Step 5: Solve for x
    x = 252,463,785,517.33/565,266.80
  6. Step 6: Final answer
    x = 446,627.66

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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.