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Finding the Fourth Proportional to 458,223.20, 687,507.60 and 221,775.20

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Solution

The fourth proportional to 458,223.20, 687,507.60 and 221,775.20 is: 332,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,223.20 : 687,507.60 = 221,775.20 : x
  2. Step 2: Convert to fraction form
    458,223.20/687,507.60 = 221,775.20/x
  3. Step 3: Cross multiply
    458,223.20x = 687,507.60 × 221,775.20
  4. Step 4: Simplify right side
    458,223.20x = 152,472,135,491.52
  5. Step 5: Solve for x
    x = 152,472,135,491.52/458,223.20
  6. Step 6: Final answer
    x = 332,746.43

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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.