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Finding the Fourth Proportional to 522,044.83, 782,270.16 and 388,278.19

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Solution

The fourth proportional to 522,044.83, 782,270.16 and 388,278.19 is: 581,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,044.83 : 782,270.16 = 388,278.19 : x
  2. Step 2: Convert to fraction form
    522,044.83/782,270.16 = 388,278.19/x
  3. Step 3: Cross multiply
    522,044.83x = 782,270.16 × 388,278.19
  4. Step 4: Simplify right side
    522,044.83x = 303,738,441,815.81
  5. Step 5: Solve for x
    x = 303,738,441,815.81/522,044.83
  6. Step 6: Final answer
    x = 581,824.44

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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.