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Finding the Fourth Proportional to 399,806.64, 551,679.84 and 256,760.28

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Solution

The fourth proportional to 399,806.64, 551,679.84 and 256,760.28 is: 354,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,806.64 : 551,679.84 = 256,760.28 : x
  2. Step 2: Convert to fraction form
    399,806.64/551,679.84 = 256,760.28/x
  3. Step 3: Cross multiply
    399,806.64x = 551,679.84 × 256,760.28
  4. Step 4: Simplify right side
    399,806.64x = 141,649,470,188.76
  5. Step 5: Solve for x
    x = 141,649,470,188.76/399,806.64
  6. Step 6: Final answer
    x = 354,294.94

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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.