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Finding the Fourth Proportional to 217,814.40, 326,548.80 and 119,318.40

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Solution

The fourth proportional to 217,814.40, 326,548.80 and 119,318.40 is: 178,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814.40 : 326,548.80 = 119,318.40 : x
  2. Step 2: Convert to fraction form
    217,814.40/326,548.80 = 119,318.40/x
  3. Step 3: Cross multiply
    217,814.40x = 326,548.80 × 119,318.40
  4. Step 4: Simplify right side
    217,814.40x = 38,963,280,337.92
  5. Step 5: Solve for x
    x = 38,963,280,337.92/217,814.40
  6. Step 6: Final answer
    x = 178,882.94

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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.