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Finding the Fourth Proportional to 522,725.93, 784,097.50 and 143,644.30

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Solution

The fourth proportional to 522,725.93, 784,097.50 and 143,644.30 is: 215,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,725.93 : 784,097.50 = 143,644.30 : x
  2. Step 2: Convert to fraction form
    522,725.93/784,097.50 = 143,644.30/x
  3. Step 3: Cross multiply
    522,725.93x = 784,097.50 × 143,644.30
  4. Step 4: Simplify right side
    522,725.93x = 112,631,131,880.54
  5. Step 5: Solve for x
    x = 112,631,131,880.54/522,725.93
  6. Step 6: Final answer
    x = 215,468.80

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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.