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Finding the Fourth Proportional to 385,367.78, 578,107.06 and 119,149.06

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Solution

The fourth proportional to 385,367.78, 578,107.06 and 119,149.06 is: 178,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,367.78 : 578,107.06 = 119,149.06 : x
  2. Step 2: Convert to fraction form
    385,367.78/578,107.06 = 119,149.06/x
  3. Step 3: Cross multiply
    385,367.78x = 578,107.06 × 119,149.06
  4. Step 4: Simplify right side
    385,367.78x = 68,880,909,292.08
  5. Step 5: Solve for x
    x = 68,880,909,292.08/385,367.78
  6. Step 6: Final answer
    x = 178,740.71

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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.