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Finding the Fourth Proportional to 458,243.20, 687,537.60 and 221,795.20

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Solution

The fourth proportional to 458,243.20, 687,537.60 and 221,795.20 is: 332,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,243.20 : 687,537.60 = 221,795.20 : x
  2. Step 2: Convert to fraction form
    458,243.20/687,537.60 = 221,795.20/x
  3. Step 3: Cross multiply
    458,243.20x = 687,537.60 × 221,795.20
  4. Step 4: Simplify right side
    458,243.20x = 152,492,539,499.52
  5. Step 5: Solve for x
    x = 152,492,539,499.52/458,243.20
  6. Step 6: Final answer
    x = 332,776.44

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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.