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Finding the Fourth Proportional to 403,889.34, 605,943.09 and 123,398.94

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Solution

The fourth proportional to 403,889.34, 605,943.09 and 123,398.94 is: 185,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,889.34 : 605,943.09 = 123,398.94 : x
  2. Step 2: Convert to fraction form
    403,889.34/605,943.09 = 123,398.94/x
  3. Step 3: Cross multiply
    403,889.34x = 605,943.09 × 123,398.94
  4. Step 4: Simplify right side
    403,889.34x = 74,772,735,006.32
  5. Step 5: Solve for x
    x = 74,772,735,006.32/403,889.34
  6. Step 6: Final answer
    x = 185,131.74

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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.