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Finding the Fourth Proportional to 458,866.45, 688,313.24 and 219,005.62

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Solution

The fourth proportional to 458,866.45, 688,313.24 and 219,005.62 is: 328,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.45 : 688,313.24 = 219,005.62 : x
  2. Step 2: Convert to fraction form
    458,866.45/688,313.24 = 219,005.62/x
  3. Step 3: Cross multiply
    458,866.45x = 688,313.24 × 219,005.62
  4. Step 4: Simplify right side
    458,866.45x = 150,744,470,989.54
  5. Step 5: Solve for x
    x = 150,744,470,989.54/458,866.45
  6. Step 6: Final answer
    x = 328,514.91

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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.