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Finding the Fourth Proportional to 224,430, 309,713.41 and 123,828

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Solution

The fourth proportional to 224,430, 309,713.41 and 123,828 is: 170,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430 : 309,713.41 = 123,828 : x
  2. Step 2: Convert to fraction form
    224,430/309,713.41 = 123,828/x
  3. Step 3: Cross multiply
    224,430x = 309,713.41 × 123,828
  4. Step 4: Simplify right side
    224,430x = 38,351,191,823.91
  5. Step 5: Solve for x
    x = 38,351,191,823.91/224,430
  6. Step 6: Final answer
    x = 170,882.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.