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Finding the Fourth Proportional to 442,196.16, 663,291.72 and 126,653.16

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Solution

The fourth proportional to 442,196.16, 663,291.72 and 126,653.16 is: 189,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,196.16 : 663,291.72 = 126,653.16 : x
  2. Step 2: Convert to fraction form
    442,196.16/663,291.72 = 126,653.16/x
  3. Step 3: Cross multiply
    442,196.16x = 663,291.72 × 126,653.16
  4. Step 4: Simplify right side
    442,196.16x = 84,007,992,339.84
  5. Step 5: Solve for x
    x = 84,007,992,339.84/442,196.16
  6. Step 6: Final answer
    x = 189,979.02

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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.