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Finding the Fourth Proportional to 399,784.52, 551,649.36 and 256,738.28

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Solution

The fourth proportional to 399,784.52, 551,649.36 and 256,738.28 is: 354,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,784.52 : 551,649.36 = 256,738.28 : x
  2. Step 2: Convert to fraction form
    399,784.52/551,649.36 = 256,738.28/x
  3. Step 3: Cross multiply
    399,784.52x = 551,649.36 × 256,738.28
  4. Step 4: Simplify right side
    399,784.52x = 141,629,507,849.50
  5. Step 5: Solve for x
    x = 141,629,507,849.50/399,784.52
  6. Step 6: Final answer
    x = 354,264.61

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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.