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Finding the Fourth Proportional to 431,923.86, 648,010.26 and 132,448.62

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Solution

The fourth proportional to 431,923.86, 648,010.26 and 132,448.62 is: 198,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,923.86 : 648,010.26 = 132,448.62 : x
  2. Step 2: Convert to fraction form
    431,923.86/648,010.26 = 132,448.62/x
  3. Step 3: Cross multiply
    431,923.86x = 648,010.26 × 132,448.62
  4. Step 4: Simplify right side
    431,923.86x = 85,828,064,682.84
  5. Step 5: Solve for x
    x = 85,828,064,682.84/431,923.86
  6. Step 6: Final answer
    x = 198,711.10

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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.