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Finding the Fourth Proportional to 309,793.32, 427,497.06 and 171,965.16

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Solution

The fourth proportional to 309,793.32, 427,497.06 and 171,965.16 is: 237,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,793.32 : 427,497.06 = 171,965.16 : x
  2. Step 2: Convert to fraction form
    309,793.32/427,497.06 = 171,965.16/x
  3. Step 3: Cross multiply
    309,793.32x = 427,497.06 × 171,965.16
  4. Step 4: Simplify right side
    309,793.32x = 73,514,600,322.43
  5. Step 5: Solve for x
    x = 73,514,600,322.43/309,793.32
  6. Step 6: Final answer
    x = 237,302.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.