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Finding the Fourth Proportional to 376,141.68, 564,432.84 and 139,647.60

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Solution

The fourth proportional to 376,141.68, 564,432.84 and 139,647.60 is: 209,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,141.68 : 564,432.84 = 139,647.60 : x
  2. Step 2: Convert to fraction form
    376,141.68/564,432.84 = 139,647.60/x
  3. Step 3: Cross multiply
    376,141.68x = 564,432.84 × 139,647.60
  4. Step 4: Simplify right side
    376,141.68x = 78,821,691,467.18
  5. Step 5: Solve for x
    x = 78,821,691,467.18/376,141.68
  6. Step 6: Final answer
    x = 209,553.20

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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.