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Finding the Fourth Proportional to 282,287.87, 423,182.21 and 216,023.79

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Solution

The fourth proportional to 282,287.87, 423,182.21 and 216,023.79 is: 323,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,287.87 : 423,182.21 = 216,023.79 : x
  2. Step 2: Convert to fraction form
    282,287.87/423,182.21 = 216,023.79/x
  3. Step 3: Cross multiply
    282,287.87x = 423,182.21 × 216,023.79
  4. Step 4: Simplify right side
    282,287.87x = 91,417,425,404.84
  5. Step 5: Solve for x
    x = 91,417,425,404.84/282,287.87
  6. Step 6: Final answer
    x = 323,844.69

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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.