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Finding the Fourth Proportional to 278,299.42, 384,053.01 and 150,975.04

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Solution

The fourth proportional to 278,299.42, 384,053.01 and 150,975.04 is: 208,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,299.42 : 384,053.01 = 150,975.04 : x
  2. Step 2: Convert to fraction form
    278,299.42/384,053.01 = 150,975.04/x
  3. Step 3: Cross multiply
    278,299.42x = 384,053.01 × 150,975.04
  4. Step 4: Simplify right side
    278,299.42x = 57,982,418,546.87
  5. Step 5: Solve for x
    x = 57,982,418,546.87/278,299.42
  6. Step 6: Final answer
    x = 208,345.45

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1.5x scale

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.