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Finding the Fourth Proportional to 458,754.90, 687,852.90 and 205,986.30

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Solution

The fourth proportional to 458,754.90, 687,852.90 and 205,986.30 is: 308,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,754.90 : 687,852.90 = 205,986.30 : x
  2. Step 2: Convert to fraction form
    458,754.90/687,852.90 = 205,986.30/x
  3. Step 3: Cross multiply
    458,754.90x = 687,852.90 × 205,986.30
  4. Step 4: Simplify right side
    458,754.90x = 141,688,273,815.27
  5. Step 5: Solve for x
    x = 141,688,273,815.27/458,754.90
  6. Step 6: Final answer
    x = 308,853.97

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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.