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Finding the Fourth Proportional to 432,399.17, 648,997.47 and 219,316.65

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Solution

The fourth proportional to 432,399.17, 648,997.47 and 219,316.65 is: 329,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,399.17 : 648,997.47 = 219,316.65 : x
  2. Step 2: Convert to fraction form
    432,399.17/648,997.47 = 219,316.65/x
  3. Step 3: Cross multiply
    432,399.17x = 648,997.47 × 219,316.65
  4. Step 4: Simplify right side
    432,399.17x = 142,335,950,978.88
  5. Step 5: Solve for x
    x = 142,335,950,978.88/432,399.17
  6. Step 6: Final answer
    x = 329,177.21

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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.