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Finding the Fourth Proportional to 378,036.45, 521,459.51 and 224,971.97

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Solution

The fourth proportional to 378,036.45, 521,459.51 and 224,971.97 is: 310,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,036.45 : 521,459.51 = 224,971.97 : x
  2. Step 2: Convert to fraction form
    378,036.45/521,459.51 = 224,971.97/x
  3. Step 3: Cross multiply
    378,036.45x = 521,459.51 × 224,971.97
  4. Step 4: Simplify right side
    378,036.45x = 117,313,769,507.78
  5. Step 5: Solve for x
    x = 117,313,769,507.78/378,036.45
  6. Step 6: Final answer
    x = 310,323.96

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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.