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Finding the Fourth Proportional to 820,093.57, 1,229,143.03 and 580,276.57

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Solution

The fourth proportional to 820,093.57, 1,229,143.03 and 580,276.57 is: 869,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,093.57 : 1,229,143.03 = 580,276.57 : x
  2. Step 2: Convert to fraction form
    820,093.57/1,229,143.03 = 580,276.57/x
  3. Step 3: Cross multiply
    820,093.57x = 1,229,143.03 × 580,276.57
  4. Step 4: Simplify right side
    820,093.57x = 713,242,901,487.81
  5. Step 5: Solve for x
    x = 713,242,901,487.81/820,093.57
  6. Step 6: Final answer
    x = 869,709.17

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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.