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Finding the Fourth Proportional to 380,712.60, 525,186.86 and 258,163.54

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Solution

The fourth proportional to 380,712.60, 525,186.86 and 258,163.54 is: 356,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712.60 : 525,186.86 = 258,163.54 : x
  2. Step 2: Convert to fraction form
    380,712.60/525,186.86 = 258,163.54/x
  3. Step 3: Cross multiply
    380,712.60x = 525,186.86 × 258,163.54
  4. Step 4: Simplify right side
    380,712.60x = 135,584,098,939.08
  5. Step 5: Solve for x
    x = 135,584,098,939.08/380,712.60
  6. Step 6: Final answer
    x = 356,132.42

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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.