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Finding the Fourth Proportional to 224,430.38, 309,713.93 and 123,828.38

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Solution

The fourth proportional to 224,430.38, 309,713.93 and 123,828.38 is: 170,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.38 : 309,713.93 = 123,828.38 : x
  2. Step 2: Convert to fraction form
    224,430.38/309,713.93 = 123,828.38/x
  3. Step 3: Cross multiply
    224,430.38x = 309,713.93 × 123,828.38
  4. Step 4: Simplify right side
    224,430.38x = 38,351,374,215.33
  5. Step 5: Solve for x
    x = 38,351,374,215.33/224,430.38
  6. Step 6: Final answer
    x = 170,883.17

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1.5x scale

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.