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Finding the Fourth Proportional to 497,225.76, 686,120.13 and 279,399.84

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Solution

The fourth proportional to 497,225.76, 686,120.13 and 279,399.84 is: 385,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,225.76 : 686,120.13 = 279,399.84 : x
  2. Step 2: Convert to fraction form
    497,225.76/686,120.13 = 279,399.84/x
  3. Step 3: Cross multiply
    497,225.76x = 686,120.13 × 279,399.84
  4. Step 4: Simplify right side
    497,225.76x = 191,701,854,542.78
  5. Step 5: Solve for x
    x = 191,701,854,542.78/497,225.76
  6. Step 6: Final answer
    x = 385,542.89

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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.