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Finding the Fourth Proportional to 458,752.90, 687,849.90 and 205,984.30

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Solution

The fourth proportional to 458,752.90, 687,849.90 and 205,984.30 is: 308,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,752.90 : 687,849.90 = 205,984.30 : x
  2. Step 2: Convert to fraction form
    458,752.90/687,849.90 = 205,984.30/x
  3. Step 3: Cross multiply
    458,752.90x = 687,849.90 × 205,984.30
  4. Step 4: Simplify right side
    458,752.90x = 141,686,280,156.57
  5. Step 5: Solve for x
    x = 141,686,280,156.57/458,752.90
  6. Step 6: Final answer
    x = 308,850.97

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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.