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Finding the Fourth Proportional to 557,565.82, 836,222.64 and 257,881.96

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Solution

The fourth proportional to 557,565.82, 836,222.64 and 257,881.96 is: 386,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,565.82 : 836,222.64 = 257,881.96 : x
  2. Step 2: Convert to fraction form
    557,565.82/836,222.64 = 257,881.96/x
  3. Step 3: Cross multiply
    557,565.82x = 836,222.64 × 257,881.96
  4. Step 4: Simplify right side
    557,565.82x = 215,646,733,399.57
  5. Step 5: Solve for x
    x = 215,646,733,399.57/557,565.82
  6. Step 6: Final answer
    x = 386,764.62

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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.