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Finding the Fourth Proportional to 404,500.74, 558,212.70 and 223,218

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Solution

The fourth proportional to 404,500.74, 558,212.70 and 223,218 is: 308,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,500.74 : 558,212.70 = 223,218 : x
  2. Step 2: Convert to fraction form
    404,500.74/558,212.70 = 223,218/x
  3. Step 3: Cross multiply
    404,500.74x = 558,212.70 × 223,218
  4. Step 4: Simplify right side
    404,500.74x = 124,603,122,468.60
  5. Step 5: Solve for x
    x = 124,603,122,468.60/404,500.74
  6. Step 6: Final answer
    x = 308,041.77

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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.