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Finding the Fourth Proportional to 226,528, 339,794.88 and 78,784

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Solution

The fourth proportional to 226,528, 339,794.88 and 78,784 is: 118,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,528 : 339,794.88 = 78,784 : x
  2. Step 2: Convert to fraction form
    226,528/339,794.88 = 78,784/x
  3. Step 3: Cross multiply
    226,528x = 339,794.88 × 78,784
  4. Step 4: Simplify right side
    226,528x = 26,770,399,825.92
  5. Step 5: Solve for x
    x = 26,770,399,825.92/226,528
  6. Step 6: Final answer
    x = 118,177.00

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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.