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Finding the Fourth Proportional to 557,676.24, 835,829.10 and 257,751.06

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Solution

The fourth proportional to 557,676.24, 835,829.10 and 257,751.06 is: 386,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,676.24 : 835,829.10 = 257,751.06 : x
  2. Step 2: Convert to fraction form
    557,676.24/835,829.10 = 257,751.06/x
  3. Step 3: Cross multiply
    557,676.24x = 835,829.10 × 257,751.06
  4. Step 4: Simplify right side
    557,676.24x = 215,435,836,503.85
  5. Step 5: Solve for x
    x = 215,435,836,503.85/557,676.24
  6. Step 6: Final answer
    x = 386,309.87

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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.