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Finding the Fourth Proportional to 587,765.96, 811,205.66 and 358,456.31

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Solution

The fourth proportional to 587,765.96, 811,205.66 and 358,456.31 is: 494,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,765.96 : 811,205.66 = 358,456.31 : x
  2. Step 2: Convert to fraction form
    587,765.96/811,205.66 = 358,456.31/x
  3. Step 3: Cross multiply
    587,765.96x = 811,205.66 × 358,456.31
  4. Step 4: Simplify right side
    587,765.96x = 290,781,787,534.72
  5. Step 5: Solve for x
    x = 290,781,787,534.72/587,765.96
  6. Step 6: Final answer
    x = 494,723.76

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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.