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Finding the Fourth Proportional to 548,034.72, 822,518.64 and 215,844

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Solution

The fourth proportional to 548,034.72, 822,518.64 and 215,844 is: 323,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,034.72 : 822,518.64 = 215,844 : x
  2. Step 2: Convert to fraction form
    548,034.72/822,518.64 = 215,844/x
  3. Step 3: Cross multiply
    548,034.72x = 822,518.64 × 215,844
  4. Step 4: Simplify right side
    548,034.72x = 177,535,713,332.16
  5. Step 5: Solve for x
    x = 177,535,713,332.16/548,034.72
  6. Step 6: Final answer
    x = 323,949.76

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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.