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Finding the Fourth Proportional to 380,713.92, 525,377.60 and 210,949.44

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Solution

The fourth proportional to 380,713.92, 525,377.60 and 210,949.44 is: 291,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,713.92 : 525,377.60 = 210,949.44 : x
  2. Step 2: Convert to fraction form
    380,713.92/525,377.60 = 210,949.44/x
  3. Step 3: Cross multiply
    380,713.92x = 525,377.60 × 210,949.44
  4. Step 4: Simplify right side
    380,713.92x = 110,828,110,508.54
  5. Step 5: Solve for x
    x = 110,828,110,508.54/380,713.92
  6. Step 6: Final answer
    x = 291,106.01

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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.