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Finding the Fourth Proportional to 458,907.66, 687,363.30 and 221,751

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Solution

The fourth proportional to 458,907.66, 687,363.30 and 221,751 is: 332,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,907.66 : 687,363.30 = 221,751 : x
  2. Step 2: Convert to fraction form
    458,907.66/687,363.30 = 221,751/x
  3. Step 3: Cross multiply
    458,907.66x = 687,363.30 × 221,751
  4. Step 4: Simplify right side
    458,907.66x = 152,423,499,138.30
  5. Step 5: Solve for x
    x = 152,423,499,138.30/458,907.66
  6. Step 6: Final answer
    x = 332,144.16

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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.