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Finding the Fourth Proportional to 380,947.32, 525,600.90 and 300,123.97

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Solution

The fourth proportional to 380,947.32, 525,600.90 and 300,123.97 is: 414,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,947.32 : 525,600.90 = 300,123.97 : x
  2. Step 2: Convert to fraction form
    380,947.32/525,600.90 = 300,123.97/x
  3. Step 3: Cross multiply
    380,947.32x = 525,600.90 × 300,123.97
  4. Step 4: Simplify right side
    380,947.32x = 157,745,427,429.57
  5. Step 5: Solve for x
    x = 157,745,427,429.57/380,947.32
  6. Step 6: Final answer
    x = 414,087.25

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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.