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Finding the Fourth Proportional to 530,812.59, 796,214.02 and 215,194.47

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Solution

The fourth proportional to 530,812.59, 796,214.02 and 215,194.47 is: 322,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,812.59 : 796,214.02 = 215,194.47 : x
  2. Step 2: Convert to fraction form
    530,812.59/796,214.02 = 215,194.47/x
  3. Step 3: Cross multiply
    530,812.59x = 796,214.02 × 215,194.47
  4. Step 4: Simplify right side
    530,812.59x = 171,340,854,040.47
  5. Step 5: Solve for x
    x = 171,340,854,040.47/530,812.59
  6. Step 6: Final answer
    x = 322,789.73

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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.