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Finding the Fourth Proportional to 657,017.70, 984,979.80 and 278,229.30

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Solution

The fourth proportional to 657,017.70, 984,979.80 and 278,229.30 is: 417,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,017.70 : 984,979.80 = 278,229.30 : x
  2. Step 2: Convert to fraction form
    657,017.70/984,979.80 = 278,229.30/x
  3. Step 3: Cross multiply
    657,017.70x = 984,979.80 × 278,229.30
  4. Step 4: Simplify right side
    657,017.70x = 274,050,240,268.14
  5. Step 5: Solve for x
    x = 274,050,240,268.14/657,017.70
  6. Step 6: Final answer
    x = 417,112.42

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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.