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Finding the Fourth Proportional to 432,796.72, 648,313 and 207,470.12

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Solution

The fourth proportional to 432,796.72, 648,313 and 207,470.12 is: 310,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,796.72 : 648,313 = 207,470.12 : x
  2. Step 2: Convert to fraction form
    432,796.72/648,313 = 207,470.12/x
  3. Step 3: Cross multiply
    432,796.72x = 648,313 × 207,470.12
  4. Step 4: Simplify right side
    432,796.72x = 134,505,575,907.56
  5. Step 5: Solve for x
    x = 134,505,575,907.56/432,796.72
  6. Step 6: Final answer
    x = 310,782.34

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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.