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Finding the Fourth Proportional to 530,812.71, 796,214.21 and 215,194.59

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Solution

The fourth proportional to 530,812.71, 796,214.21 and 215,194.59 is: 322,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,812.71 : 796,214.21 = 215,194.59 : x
  2. Step 2: Convert to fraction form
    530,812.71/796,214.21 = 215,194.59/x
  3. Step 3: Cross multiply
    530,812.71x = 796,214.21 × 215,194.59
  4. Step 4: Simplify right side
    530,812.71x = 171,340,989,397.15
  5. Step 5: Solve for x
    x = 171,340,989,397.15/530,812.71
  6. Step 6: Final answer
    x = 322,789.91

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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.