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Finding the Fourth Proportional to 380,709.60, 525,182.72 and 258,160.54

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Solution

The fourth proportional to 380,709.60, 525,182.72 and 258,160.54 is: 356,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,709.60 : 525,182.72 = 258,160.54 : x
  2. Step 2: Convert to fraction form
    380,709.60/525,182.72 = 258,160.54/x
  3. Step 3: Cross multiply
    380,709.60x = 525,182.72 × 258,160.54
  4. Step 4: Simplify right side
    380,709.60x = 135,581,454,593.87
  5. Step 5: Solve for x
    x = 135,581,454,593.87/380,709.60
  6. Step 6: Final answer
    x = 356,128.28

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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.