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Finding the Fourth Proportional to 508,906.74, 702,291.96 and 279,478.86

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Solution

The fourth proportional to 508,906.74, 702,291.96 and 279,478.86 is: 385,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,906.74 : 702,291.96 = 279,478.86 : x
  2. Step 2: Convert to fraction form
    508,906.74/702,291.96 = 279,478.86/x
  3. Step 3: Cross multiply
    508,906.74x = 702,291.96 × 279,478.86
  4. Step 4: Simplify right side
    508,906.74x = 196,275,756,367.97
  5. Step 5: Solve for x
    x = 196,275,756,367.97/508,906.74
  6. Step 6: Final answer
    x = 385,681.19

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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.