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Finding the Fourth Proportional to 400,745.52, 601,118.28 and 178,974

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Solution

The fourth proportional to 400,745.52, 601,118.28 and 178,974 is: 268,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,745.52 : 601,118.28 = 178,974 : x
  2. Step 2: Convert to fraction form
    400,745.52/601,118.28 = 178,974/x
  3. Step 3: Cross multiply
    400,745.52x = 601,118.28 × 178,974
  4. Step 4: Simplify right side
    400,745.52x = 107,584,543,044.72
  5. Step 5: Solve for x
    x = 107,584,543,044.72/400,745.52
  6. Step 6: Final answer
    x = 268,461

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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.