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Finding the Fourth Proportional to 458,987.11, 688,243.03 and 206,049.83

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Solution

The fourth proportional to 458,987.11, 688,243.03 and 206,049.83 is: 308,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,987.11 : 688,243.03 = 206,049.83 : x
  2. Step 2: Convert to fraction form
    458,987.11/688,243.03 = 206,049.83/x
  3. Step 3: Cross multiply
    458,987.11x = 688,243.03 × 206,049.83
  4. Step 4: Simplify right side
    458,987.11x = 141,812,355,373.85
  5. Step 5: Solve for x
    x = 141,812,355,373.85/458,987.11
  6. Step 6: Final answer
    x = 308,968.06

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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.