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Finding the Fourth Proportional to 442,485.49, 663,728.61 and 189,601.94

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Solution

The fourth proportional to 442,485.49, 663,728.61 and 189,601.94 is: 284,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,485.49 : 663,728.61 = 189,601.94 : x
  2. Step 2: Convert to fraction form
    442,485.49/663,728.61 = 189,601.94/x
  3. Step 3: Cross multiply
    442,485.49x = 663,728.61 × 189,601.94
  4. Step 4: Simplify right side
    442,485.49x = 125,844,232,089.50
  5. Step 5: Solve for x
    x = 125,844,232,089.50/442,485.49
  6. Step 6: Final answer
    x = 284,403.07

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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.