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Finding the Fourth Proportional to 644,451.48, 889,343.56 and 354,081.78

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Solution

The fourth proportional to 644,451.48, 889,343.56 and 354,081.78 is: 488,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,451.48 : 889,343.56 = 354,081.78 : x
  2. Step 2: Convert to fraction form
    644,451.48/889,343.56 = 354,081.78/x
  3. Step 3: Cross multiply
    644,451.48x = 889,343.56 × 354,081.78
  4. Step 4: Simplify right side
    644,451.48x = 314,900,350,756.34
  5. Step 5: Solve for x
    x = 314,900,350,756.34/644,451.48
  6. Step 6: Final answer
    x = 488,633.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.