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Finding the Fourth Proportional to 378,037.45, 521,460.88 and 224,972.97

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Solution

The fourth proportional to 378,037.45, 521,460.88 and 224,972.97 is: 310,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,037.45 : 521,460.88 = 224,972.97 : x
  2. Step 2: Convert to fraction form
    378,037.45/521,460.88 = 224,972.97/x
  3. Step 3: Cross multiply
    378,037.45x = 521,460.88 × 224,972.97
  4. Step 4: Simplify right side
    378,037.45x = 117,314,602,912.41
  5. Step 5: Solve for x
    x = 117,314,602,912.41/378,037.45
  6. Step 6: Final answer
    x = 310,325.35

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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.