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Finding the Fourth Proportional to 485,528.80, 727,904.40 and 204,815.20

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Solution

The fourth proportional to 485,528.80, 727,904.40 and 204,815.20 is: 307,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,528.80 : 727,904.40 = 204,815.20 : x
  2. Step 2: Convert to fraction form
    485,528.80/727,904.40 = 204,815.20/x
  3. Step 3: Cross multiply
    485,528.80x = 727,904.40 × 204,815.20
  4. Step 4: Simplify right side
    485,528.80x = 149,085,885,266.88
  5. Step 5: Solve for x
    x = 149,085,885,266.88/485,528.80
  6. Step 6: Final answer
    x = 307,058.79

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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.