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Finding the Fourth Proportional to 399,777.29, 551,639.50 and 256,731.09

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Solution

The fourth proportional to 399,777.29, 551,639.50 and 256,731.09 is: 354,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,777.29 : 551,639.50 = 256,731.09 : x
  2. Step 2: Convert to fraction form
    399,777.29/551,639.50 = 256,731.09/x
  3. Step 3: Cross multiply
    399,777.29x = 551,639.50 × 256,731.09
  4. Step 4: Simplify right side
    399,777.29x = 141,623,007,411.58
  5. Step 5: Solve for x
    x = 141,623,007,411.58/399,777.29
  6. Step 6: Final answer
    x = 354,254.76

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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.