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Finding the Fourth Proportional to 301,323.12, 451,562.14 and 216,685

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Solution

The fourth proportional to 301,323.12, 451,562.14 and 216,685 is: 324,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,323.12 : 451,562.14 = 216,685 : x
  2. Step 2: Convert to fraction form
    301,323.12/451,562.14 = 216,685/x
  3. Step 3: Cross multiply
    301,323.12x = 451,562.14 × 216,685
  4. Step 4: Simplify right side
    301,323.12x = 97,846,742,305.90
  5. Step 5: Solve for x
    x = 97,846,742,305.90/301,323.12
  6. Step 6: Final answer
    x = 324,723.65

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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.