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Finding the Fourth Proportional to 485,404.11, 728,038.13 and 204,855.75

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Solution

The fourth proportional to 485,404.11, 728,038.13 and 204,855.75 is: 307,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,404.11 : 728,038.13 = 204,855.75 : x
  2. Step 2: Convert to fraction form
    485,404.11/728,038.13 = 204,855.75/x
  3. Step 3: Cross multiply
    485,404.11x = 728,038.13 × 204,855.75
  4. Step 4: Simplify right side
    485,404.11x = 149,142,796,125.47
  5. Step 5: Solve for x
    x = 149,142,796,125.47/485,404.11
  6. Step 6: Final answer
    x = 307,254.91

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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.