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Finding the Fourth Proportional to 458,139.85, 687,181.73 and 205,352.42

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Solution

The fourth proportional to 458,139.85, 687,181.73 and 205,352.42 is: 308,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,139.85 : 687,181.73 = 205,352.42 : x
  2. Step 2: Convert to fraction form
    458,139.85/687,181.73 = 205,352.42/x
  3. Step 3: Cross multiply
    458,139.85x = 687,181.73 × 205,352.42
  4. Step 4: Simplify right side
    458,139.85x = 141,114,426,772.62
  5. Step 5: Solve for x
    x = 141,114,426,772.62/458,139.85
  6. Step 6: Final answer
    x = 308,016.05

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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.