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Finding the Fourth Proportional to 576,575.70, 864,161.64 and 408,143.76

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Solution

The fourth proportional to 576,575.70, 864,161.64 and 408,143.76 is: 611,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,575.70 : 864,161.64 = 408,143.76 : x
  2. Step 2: Convert to fraction form
    576,575.70/864,161.64 = 408,143.76/x
  3. Step 3: Cross multiply
    576,575.70x = 864,161.64 × 408,143.76
  4. Step 4: Simplify right side
    576,575.70x = 352,702,180,997.37
  5. Step 5: Solve for x
    x = 352,702,180,997.37/576,575.70
  6. Step 6: Final answer
    x = 611,718.78

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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.