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Finding the Fourth Proportional to 385,774.32, 578,716.24 and 119,555.76

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Solution

The fourth proportional to 385,774.32, 578,716.24 and 119,555.76 is: 179,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,774.32 : 578,716.24 = 119,555.76 : x
  2. Step 2: Convert to fraction form
    385,774.32/578,716.24 = 119,555.76/x
  3. Step 3: Cross multiply
    385,774.32x = 578,716.24 × 119,555.76
  4. Step 4: Simplify right side
    385,774.32x = 69,188,859,897.54
  5. Step 5: Solve for x
    x = 69,188,859,897.54/385,774.32
  6. Step 6: Final answer
    x = 179,350.61

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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.