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Finding the Fourth Proportional to 400,800.54, 552,838.56 and 257,741.58

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Solution

The fourth proportional to 400,800.54, 552,838.56 and 257,741.58 is: 355,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,800.54 : 552,838.56 = 257,741.58 : x
  2. Step 2: Convert to fraction form
    400,800.54/552,838.56 = 257,741.58/x
  3. Step 3: Cross multiply
    400,800.54x = 552,838.56 × 257,741.58
  4. Step 4: Simplify right side
    400,800.54x = 142,489,483,939.33
  5. Step 5: Solve for x
    x = 142,489,483,939.33/400,800.54
  6. Step 6: Final answer
    x = 355,512.21

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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.