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Finding the Fourth Proportional to 278,043.71, 383,700.78 and 150,719.58

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Solution

The fourth proportional to 278,043.71, 383,700.78 and 150,719.58 is: 207,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,043.71 : 383,700.78 = 150,719.58 : x
  2. Step 2: Convert to fraction form
    278,043.71/383,700.78 = 150,719.58/x
  3. Step 3: Cross multiply
    278,043.71x = 383,700.78 × 150,719.58
  4. Step 4: Simplify right side
    278,043.71x = 57,831,220,407.27
  5. Step 5: Solve for x
    x = 57,831,220,407.27/278,043.71
  6. Step 6: Final answer
    x = 207,993.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.