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Finding the Fourth Proportional to 576,309.86, 864,576.84 and 221,297.78

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Solution

The fourth proportional to 576,309.86, 864,576.84 and 221,297.78 is: 331,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,309.86 : 864,576.84 = 221,297.78 : x
  2. Step 2: Convert to fraction form
    576,309.86/864,576.84 = 221,297.78/x
  3. Step 3: Cross multiply
    576,309.86x = 864,576.84 × 221,297.78
  4. Step 4: Simplify right side
    576,309.86x = 191,328,935,331.42
  5. Step 5: Solve for x
    x = 191,328,935,331.42/576,309.86
  6. Step 6: Final answer
    x = 331,989.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.