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Finding the Fourth Proportional to 497,678.40, 686,806.50 and 279,891.24

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Solution

The fourth proportional to 497,678.40, 686,806.50 and 279,891.24 is: 386,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,678.40 : 686,806.50 = 279,891.24 : x
  2. Step 2: Convert to fraction form
    497,678.40/686,806.50 = 279,891.24/x
  3. Step 3: Cross multiply
    497,678.40x = 686,806.50 × 279,891.24
  4. Step 4: Simplify right side
    497,678.40x = 192,231,122,925.06
  5. Step 5: Solve for x
    x = 192,231,122,925.06/497,678.40
  6. Step 6: Final answer
    x = 386,255.71

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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.