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Finding the Fourth Proportional to 299,724.72, 413,615.28 and 163,755.72

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Solution

The fourth proportional to 299,724.72, 413,615.28 and 163,755.72 is: 225,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724.72 : 413,615.28 = 163,755.72 : x
  2. Step 2: Convert to fraction form
    299,724.72/413,615.28 = 163,755.72/x
  3. Step 3: Cross multiply
    299,724.72x = 413,615.28 × 163,755.72
  4. Step 4: Simplify right side
    299,724.72x = 67,731,867,979.40
  5. Step 5: Solve for x
    x = 67,731,867,979.40/299,724.72
  6. Step 6: Final answer
    x = 225,980.25

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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.