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Finding the Fourth Proportional to 391,193.77, 586,790.65 and 213,603.90

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Solution

The fourth proportional to 391,193.77, 586,790.65 and 213,603.90 is: 320,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,193.77 : 586,790.65 = 213,603.90 : x
  2. Step 2: Convert to fraction form
    391,193.77/586,790.65 = 213,603.90/x
  3. Step 3: Cross multiply
    391,193.77x = 586,790.65 × 213,603.90
  4. Step 4: Simplify right side
    391,193.77x = 125,340,773,291.53
  5. Step 5: Solve for x
    x = 125,340,773,291.53/391,193.77
  6. Step 6: Final answer
    x = 320,405.85

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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.