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Finding the Fourth Proportional to 419,040.47, 578,264.77 and 228,049.76

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Solution

The fourth proportional to 419,040.47, 578,264.77 and 228,049.76 is: 314,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,040.47 : 578,264.77 = 228,049.76 : x
  2. Step 2: Convert to fraction form
    419,040.47/578,264.77 = 228,049.76/x
  3. Step 3: Cross multiply
    419,040.47x = 578,264.77 × 228,049.76
  4. Step 4: Simplify right side
    419,040.47x = 131,873,143,745.68
  5. Step 5: Solve for x
    x = 131,873,143,745.68/419,040.47
  6. Step 6: Final answer
    x = 314,702.64

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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.