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Finding the Fourth Proportional to 498,108, 687,389.20 and 319,260

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Solution

The fourth proportional to 498,108, 687,389.20 and 319,260 is: 440,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,108 : 687,389.20 = 319,260 : x
  2. Step 2: Convert to fraction form
    498,108/687,389.20 = 319,260/x
  3. Step 3: Cross multiply
    498,108x = 687,389.20 × 319,260
  4. Step 4: Simplify right side
    498,108x = 219,455,875,992
  5. Step 5: Solve for x
    x = 219,455,875,992/498,108
  6. Step 6: Final answer
    x = 440,578.90

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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.