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Finding the Fourth Proportional to 557,399.88, 835,424.28 and 257,256

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Solution

The fourth proportional to 557,399.88, 835,424.28 and 257,256 is: 385,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,399.88 : 835,424.28 = 257,256 : x
  2. Step 2: Convert to fraction form
    557,399.88/835,424.28 = 257,256/x
  3. Step 3: Cross multiply
    557,399.88x = 835,424.28 × 257,256
  4. Step 4: Simplify right side
    557,399.88x = 214,917,908,575.68
  5. Step 5: Solve for x
    x = 214,917,908,575.68/557,399.88
  6. Step 6: Final answer
    x = 385,572.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.