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Finding the Fourth Proportional to 802,807.60, 1,204,211.40 and 329,832.40

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Solution

The fourth proportional to 802,807.60, 1,204,211.40 and 329,832.40 is: 494,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,807.60 : 1,204,211.40 = 329,832.40 : x
  2. Step 2: Convert to fraction form
    802,807.60/1,204,211.40 = 329,832.40/x
  3. Step 3: Cross multiply
    802,807.60x = 1,204,211.40 × 329,832.40
  4. Step 4: Simplify right side
    802,807.60x = 397,187,936,169.36
  5. Step 5: Solve for x
    x = 397,187,936,169.36/802,807.60
  6. Step 6: Final answer
    x = 494,748.60

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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.