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Finding the Fourth Proportional to 386,083.97, 579,327.90 and 280,341.41

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Solution

The fourth proportional to 386,083.97, 579,327.90 and 280,341.41 is: 420,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,083.97 : 579,327.90 = 280,341.41 : x
  2. Step 2: Convert to fraction form
    386,083.97/579,327.90 = 280,341.41/x
  3. Step 3: Cross multiply
    386,083.97x = 579,327.90 × 280,341.41
  4. Step 4: Simplify right side
    386,083.97x = 162,409,596,390.42
  5. Step 5: Solve for x
    x = 162,409,596,390.42/386,083.97
  6. Step 6: Final answer
    x = 420,658.74

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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.