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Finding the Fourth Proportional to 278,872.28, 384,843.74 and 151,547.87

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Solution

The fourth proportional to 278,872.28, 384,843.74 and 151,547.87 is: 209,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,872.28 : 384,843.74 = 151,547.87 : x
  2. Step 2: Convert to fraction form
    278,872.28/384,843.74 = 151,547.87/x
  3. Step 3: Cross multiply
    278,872.28x = 384,843.74 × 151,547.87
  4. Step 4: Simplify right side
    278,872.28x = 58,322,249,284.20
  5. Step 5: Solve for x
    x = 58,322,249,284.20/278,872.28
  6. Step 6: Final answer
    x = 209,136.06

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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.