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Finding the Fourth Proportional to 458,122.80, 687,328.20 and 221,473.20

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Solution

The fourth proportional to 458,122.80, 687,328.20 and 221,473.20 is: 332,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,122.80 : 687,328.20 = 221,473.20 : x
  2. Step 2: Convert to fraction form
    458,122.80/687,328.20 = 221,473.20/x
  3. Step 3: Cross multiply
    458,122.80x = 687,328.20 × 221,473.20
  4. Step 4: Simplify right side
    458,122.80x = 152,224,775,904.24
  5. Step 5: Solve for x
    x = 152,224,775,904.24/458,122.80
  6. Step 6: Final answer
    x = 332,279.41

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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.