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Finding the Fourth Proportional to 613,385.94, 920,115.67 and 192,661.82

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Solution

The fourth proportional to 613,385.94, 920,115.67 and 192,661.82 is: 289,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,385.94 : 920,115.67 = 192,661.82 : x
  2. Step 2: Convert to fraction form
    613,385.94/920,115.67 = 192,661.82/x
  3. Step 3: Cross multiply
    613,385.94x = 920,115.67 × 192,661.82
  4. Step 4: Simplify right side
    613,385.94x = 177,271,154,510.49
  5. Step 5: Solve for x
    x = 177,271,154,510.49/613,385.94
  6. Step 6: Final answer
    x = 289,004.27

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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.