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Finding the Fourth Proportional to 661,752.96, 992,145.50 and 212,217.94

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Solution

The fourth proportional to 661,752.96, 992,145.50 and 212,217.94 is: 318,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,752.96 : 992,145.50 = 212,217.94 : x
  2. Step 2: Convert to fraction form
    661,752.96/992,145.50 = 212,217.94/x
  3. Step 3: Cross multiply
    661,752.96x = 992,145.50 × 212,217.94
  4. Step 4: Simplify right side
    661,752.96x = 210,551,074,190.27
  5. Step 5: Solve for x
    x = 210,551,074,190.27/661,752.96
  6. Step 6: Final answer
    x = 318,171.72

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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.