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Finding the Fourth Proportional to 379,468.90, 569,859.45 and 202,321.90

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Solution

The fourth proportional to 379,468.90, 569,859.45 and 202,321.90 is: 303,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,468.90 : 569,859.45 = 202,321.90 : x
  2. Step 2: Convert to fraction form
    379,468.90/569,859.45 = 202,321.90/x
  3. Step 3: Cross multiply
    379,468.90x = 569,859.45 × 202,321.90
  4. Step 4: Simplify right side
    379,468.90x = 115,295,046,656.96
  5. Step 5: Solve for x
    x = 115,295,046,656.96/379,468.90
  6. Step 6: Final answer
    x = 303,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.