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Finding the Fourth Proportional to 442,865.52, 664,409.52 and 127,323

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Solution

The fourth proportional to 442,865.52, 664,409.52 and 127,323 is: 191,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,865.52 : 664,409.52 = 127,323 : x
  2. Step 2: Convert to fraction form
    442,865.52/664,409.52 = 127,323/x
  3. Step 3: Cross multiply
    442,865.52x = 664,409.52 × 127,323
  4. Step 4: Simplify right side
    442,865.52x = 84,594,613,314.96
  5. Step 5: Solve for x
    x = 84,594,613,314.96/442,865.52
  6. Step 6: Final answer
    x = 191,016.48

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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.