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Finding the Fourth Proportional to 385,357.22, 578,091.12 and 119,138.54

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Solution

The fourth proportional to 385,357.22, 578,091.12 and 119,138.54 is: 178,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,357.22 : 578,091.12 = 119,138.54 : x
  2. Step 2: Convert to fraction form
    385,357.22/578,091.12 = 119,138.54/x
  3. Step 3: Cross multiply
    385,357.22x = 578,091.12 × 119,138.54
  4. Step 4: Simplify right side
    385,357.22x = 68,872,932,023.76
  5. Step 5: Solve for x
    x = 68,872,932,023.76/385,357.22
  6. Step 6: Final answer
    x = 178,724.90

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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.