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Finding the Fourth Proportional to 530,811.59, 796,212.52 and 215,193.47

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Solution

The fourth proportional to 530,811.59, 796,212.52 and 215,193.47 is: 322,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,811.59 : 796,212.52 = 215,193.47 : x
  2. Step 2: Convert to fraction form
    530,811.59/796,212.52 = 215,193.47/x
  3. Step 3: Cross multiply
    530,811.59x = 796,212.52 × 215,193.47
  4. Step 4: Simplify right side
    530,811.59x = 171,339,730,517.20
  5. Step 5: Solve for x
    x = 171,339,730,517.20/530,811.59
  6. Step 6: Final answer
    x = 322,788.23

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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.