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Finding the Fourth Proportional to 419,642.43, 579,106.68 and 228,655.77

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Solution

The fourth proportional to 419,642.43, 579,106.68 and 228,655.77 is: 315,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,642.43 : 579,106.68 = 228,655.77 : x
  2. Step 2: Convert to fraction form
    419,642.43/579,106.68 = 228,655.77/x
  3. Step 3: Cross multiply
    419,642.43x = 579,106.68 × 228,655.77
  4. Step 4: Simplify right side
    419,642.43x = 132,416,083,827.54
  5. Step 5: Solve for x
    x = 132,416,083,827.54/419,642.43
  6. Step 6: Final answer
    x = 315,545.03

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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.