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Finding the Fourth Proportional to 653,694.14, 980,288.49 and 254,280.98

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Solution

The fourth proportional to 653,694.14, 980,288.49 and 254,280.98 is: 381,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,694.14 : 980,288.49 = 254,280.98 : x
  2. Step 2: Convert to fraction form
    653,694.14/980,288.49 = 254,280.98/x
  3. Step 3: Cross multiply
    653,694.14x = 980,288.49 × 254,280.98
  4. Step 4: Simplify right side
    653,694.14x = 249,268,717,919.92
  5. Step 5: Solve for x
    x = 249,268,717,919.92/653,694.14
  6. Step 6: Final answer
    x = 381,323.16

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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.