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Finding the Fourth Proportional to 270,856.92, 406,354.50 and 171,721.56

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Solution

The fourth proportional to 270,856.92, 406,354.50 and 171,721.56 is: 257,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,856.92 : 406,354.50 = 171,721.56 : x
  2. Step 2: Convert to fraction form
    270,856.92/406,354.50 = 171,721.56/x
  3. Step 3: Cross multiply
    270,856.92x = 406,354.50 × 171,721.56
  4. Step 4: Simplify right side
    270,856.92x = 69,779,828,653.02
  5. Step 5: Solve for x
    x = 69,779,828,653.02/270,856.92
  6. Step 6: Final answer
    x = 257,626.16

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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.