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Finding the Fourth Proportional to 512,155.31, 768,315.88 and 192,332.07

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Solution

The fourth proportional to 512,155.31, 768,315.88 and 192,332.07 is: 288,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,155.31 : 768,315.88 = 192,332.07 : x
  2. Step 2: Convert to fraction form
    512,155.31/768,315.88 = 192,332.07/x
  3. Step 3: Cross multiply
    512,155.31x = 768,315.88 × 192,332.07
  4. Step 4: Simplify right side
    512,155.31x = 147,771,783,854.69
  5. Step 5: Solve for x
    x = 147,771,783,854.69/512,155.31
  6. Step 6: Final answer
    x = 288,529.25

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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.