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Finding the Fourth Proportional to 557,641.26, 835,339.23 and 257,708.79

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Solution

The fourth proportional to 557,641.26, 835,339.23 and 257,708.79 is: 386,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,641.26 : 835,339.23 = 257,708.79 : x
  2. Step 2: Convert to fraction form
    557,641.26/835,339.23 = 257,708.79/x
  3. Step 3: Cross multiply
    557,641.26x = 835,339.23 × 257,708.79
  4. Step 4: Simplify right side
    557,641.26x = 215,274,262,202.83
  5. Step 5: Solve for x
    x = 215,274,262,202.83/557,641.26
  6. Step 6: Final answer
    x = 386,044.36

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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.