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Finding the Fourth Proportional to 305,786.30, 458,679.45 and 286,103.30

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Solution

The fourth proportional to 305,786.30, 458,679.45 and 286,103.30 is: 429,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,786.30 : 458,679.45 = 286,103.30 : x
  2. Step 2: Convert to fraction form
    305,786.30/458,679.45 = 286,103.30/x
  3. Step 3: Cross multiply
    305,786.30x = 458,679.45 × 286,103.30
  4. Step 4: Simplify right side
    305,786.30x = 131,229,704,287.19
  5. Step 5: Solve for x
    x = 131,229,704,287.19/305,786.30
  6. Step 6: Final answer
    x = 429,154.95

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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.