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Finding the Fourth Proportional to 498,163.50, 687,396.24 and 283,279.77

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Solution

The fourth proportional to 498,163.50, 687,396.24 and 283,279.77 is: 390,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,163.50 : 687,396.24 = 283,279.77 : x
  2. Step 2: Convert to fraction form
    498,163.50/687,396.24 = 283,279.77/x
  3. Step 3: Cross multiply
    498,163.50x = 687,396.24 × 283,279.77
  4. Step 4: Simplify right side
    498,163.50x = 194,725,448,766.07
  5. Step 5: Solve for x
    x = 194,725,448,766.07/498,163.50
  6. Step 6: Final answer
    x = 390,886.62

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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.