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Finding the Fourth Proportional to 442,468.98, 663,704.08 and 189,585.56

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Solution

The fourth proportional to 442,468.98, 663,704.08 and 189,585.56 is: 284,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,468.98 : 663,704.08 = 189,585.56 : x
  2. Step 2: Convert to fraction form
    442,468.98/663,704.08 = 189,585.56/x
  3. Step 3: Cross multiply
    442,468.98x = 663,704.08 × 189,585.56
  4. Step 4: Simplify right side
    442,468.98x = 125,828,710,866.38
  5. Step 5: Solve for x
    x = 125,828,710,866.38/442,468.98
  6. Step 6: Final answer
    x = 284,378.60

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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.