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Finding the Fourth Proportional to 285,579.60, 428,390.40 and 75,216

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Solution

The fourth proportional to 285,579.60, 428,390.40 and 75,216 is: 112,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,579.60 : 428,390.40 = 75,216 : x
  2. Step 2: Convert to fraction form
    285,579.60/428,390.40 = 75,216/x
  3. Step 3: Cross multiply
    285,579.60x = 428,390.40 × 75,216
  4. Step 4: Simplify right side
    285,579.60x = 32,221,812,326.40
  5. Step 5: Solve for x
    x = 32,221,812,326.40/285,579.60
  6. Step 6: Final answer
    x = 112,829.53

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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.