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Finding the Fourth Proportional to 419,634.17, 579,095.22 and 228,647.58

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Solution

The fourth proportional to 419,634.17, 579,095.22 and 228,647.58 is: 315,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,634.17 : 579,095.22 = 228,647.58 : x
  2. Step 2: Convert to fraction form
    419,634.17/579,095.22 = 228,647.58/x
  3. Step 3: Cross multiply
    419,634.17x = 579,095.22 × 228,647.58
  4. Step 4: Simplify right side
    419,634.17x = 132,408,720,642.57
  5. Step 5: Solve for x
    x = 132,408,720,642.57/419,634.17
  6. Step 6: Final answer
    x = 315,533.70

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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.