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Finding the Fourth Proportional to 380,189.76, 524,778.78 and 219,152.44

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Solution

The fourth proportional to 380,189.76, 524,778.78 and 219,152.44 is: 302,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,189.76 : 524,778.78 = 219,152.44 : x
  2. Step 2: Convert to fraction form
    380,189.76/524,778.78 = 219,152.44/x
  3. Step 3: Cross multiply
    380,189.76x = 524,778.78 × 219,152.44
  4. Step 4: Simplify right side
    380,189.76x = 115,006,550,097.22
  5. Step 5: Solve for x
    x = 115,006,550,097.22/380,189.76
  6. Step 6: Final answer
    x = 302,497.76

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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.