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Finding the Fourth Proportional to 379,892.24, 569,822.52 and 99,403.28

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Solution

The fourth proportional to 379,892.24, 569,822.52 and 99,403.28 is: 149,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,892.24 : 569,822.52 = 99,403.28 : x
  2. Step 2: Convert to fraction form
    379,892.24/569,822.52 = 99,403.28/x
  3. Step 3: Cross multiply
    379,892.24x = 569,822.52 × 99,403.28
  4. Step 4: Simplify right side
    379,892.24x = 56,642,227,505.87
  5. Step 5: Solve for x
    x = 56,642,227,505.87/379,892.24
  6. Step 6: Final answer
    x = 149,100.78

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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.