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Finding the Fourth Proportional to 423,878.13, 635,718.56 and 157,763.97

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Solution

The fourth proportional to 423,878.13, 635,718.56 and 157,763.97 is: 236,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,878.13 : 635,718.56 = 157,763.97 : x
  2. Step 2: Convert to fraction form
    423,878.13/635,718.56 = 157,763.97/x
  3. Step 3: Cross multiply
    423,878.13x = 635,718.56 × 157,763.97
  4. Step 4: Simplify right side
    423,878.13x = 100,293,483,039.46
  5. Step 5: Solve for x
    x = 100,293,483,039.46/423,878.13
  6. Step 6: Final answer
    x = 236,609.24

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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.