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Finding the Fourth Proportional to 458,109.68, 687,237.42 and 221,469.80

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Solution

The fourth proportional to 458,109.68, 687,237.42 and 221,469.80 is: 332,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,109.68 : 687,237.42 = 221,469.80 : x
  2. Step 2: Convert to fraction form
    458,109.68/687,237.42 = 221,469.80/x
  3. Step 3: Cross multiply
    458,109.68x = 687,237.42 × 221,469.80
  4. Step 4: Simplify right side
    458,109.68x = 152,202,333,959.92
  5. Step 5: Solve for x
    x = 152,202,333,959.92/458,109.68
  6. Step 6: Final answer
    x = 332,239.94

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1.5x scale

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.