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Finding the Fourth Proportional to 322,909.60, 483,442.80 and 286,045.60

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Solution

The fourth proportional to 322,909.60, 483,442.80 and 286,045.60 is: 428,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,909.60 : 483,442.80 = 286,045.60 : x
  2. Step 2: Convert to fraction form
    322,909.60/483,442.80 = 286,045.60/x
  3. Step 3: Cross multiply
    322,909.60x = 483,442.80 × 286,045.60
  4. Step 4: Simplify right side
    322,909.60x = 138,286,685,791.68
  5. Step 5: Solve for x
    x = 138,286,685,791.68/322,909.60
  6. Step 6: Final answer
    x = 428,252.01

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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.