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Finding the Fourth Proportional to 419,552.52, 578,997.36 and 238,259.40

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Solution

The fourth proportional to 419,552.52, 578,997.36 and 238,259.40 is: 328,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,552.52 : 578,997.36 = 238,259.40 : x
  2. Step 2: Convert to fraction form
    419,552.52/578,997.36 = 238,259.40/x
  3. Step 3: Cross multiply
    419,552.52x = 578,997.36 × 238,259.40
  4. Step 4: Simplify right side
    419,552.52x = 137,951,563,595.18
  5. Step 5: Solve for x
    x = 137,951,563,595.18/419,552.52
  6. Step 6: Final answer
    x = 328,806.42

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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.