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Finding the Fourth Proportional to 458,171.92, 686,981.76 and 205,406.70

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Solution

The fourth proportional to 458,171.92, 686,981.76 and 205,406.70 is: 307,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,171.92 : 686,981.76 = 205,406.70 : x
  2. Step 2: Convert to fraction form
    458,171.92/686,981.76 = 205,406.70/x
  3. Step 3: Cross multiply
    458,171.92x = 686,981.76 × 205,406.70
  4. Step 4: Simplify right side
    458,171.92x = 141,110,656,281.79
  5. Step 5: Solve for x
    x = 141,110,656,281.79/458,171.92
  6. Step 6: Final answer
    x = 307,986.26

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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.