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Finding the Fourth Proportional to 458,169.41, 686,978.01 and 205,404.19

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Solution

The fourth proportional to 458,169.41, 686,978.01 and 205,404.19 is: 307,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,169.41 : 686,978.01 = 205,404.19 : x
  2. Step 2: Convert to fraction form
    458,169.41/686,978.01 = 205,404.19/x
  3. Step 3: Cross multiply
    458,169.41x = 686,978.01 × 205,404.19
  4. Step 4: Simplify right side
    458,169.41x = 141,108,159,974.42
  5. Step 5: Solve for x
    x = 141,108,159,974.42/458,169.41
  6. Step 6: Final answer
    x = 307,982.50

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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.