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Finding the Fourth Proportional to 476,715.36, 657,871.11 and 261,860.22

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Solution

The fourth proportional to 476,715.36, 657,871.11 and 261,860.22 is: 361,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,715.36 : 657,871.11 = 261,860.22 : x
  2. Step 2: Convert to fraction form
    476,715.36/657,871.11 = 261,860.22/x
  3. Step 3: Cross multiply
    476,715.36x = 657,871.11 × 261,860.22
  4. Step 4: Simplify right side
    476,715.36x = 172,270,273,596.24
  5. Step 5: Solve for x
    x = 172,270,273,596.24/476,715.36
  6. Step 6: Final answer
    x = 361,369.25

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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.