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Finding the Fourth Proportional to 202,847.40, 304,206.30 and 84,490.20

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Solution

The fourth proportional to 202,847.40, 304,206.30 and 84,490.20 is: 126,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,847.40 : 304,206.30 = 84,490.20 : x
  2. Step 2: Convert to fraction form
    202,847.40/304,206.30 = 84,490.20/x
  3. Step 3: Cross multiply
    202,847.40x = 304,206.30 × 84,490.20
  4. Step 4: Simplify right side
    202,847.40x = 25,702,451,128.26
  5. Step 5: Solve for x
    x = 25,702,451,128.26/202,847.40
  6. Step 6: Final answer
    x = 126,708.31

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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.