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Finding the Fourth Proportional to 379,728.66, 569,679.39 and 202,142.10

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Solution

The fourth proportional to 379,728.66, 569,679.39 and 202,142.10 is: 303,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,728.66 : 569,679.39 = 202,142.10 : x
  2. Step 2: Convert to fraction form
    379,728.66/569,679.39 = 202,142.10/x
  3. Step 3: Cross multiply
    379,728.66x = 569,679.39 × 202,142.10
  4. Step 4: Simplify right side
    379,728.66x = 115,156,188,221.32
  5. Step 5: Solve for x
    x = 115,156,188,221.32/379,728.66
  6. Step 6: Final answer
    x = 303,259.14

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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.