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Finding the Fourth Proportional to 299,647.90, 413,498.28 and 163,679.88

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Solution

The fourth proportional to 299,647.90, 413,498.28 and 163,679.88 is: 225,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,647.90 : 413,498.28 = 163,679.88 : x
  2. Step 2: Convert to fraction form
    299,647.90/413,498.28 = 163,679.88/x
  3. Step 3: Cross multiply
    299,647.90x = 413,498.28 × 163,679.88
  4. Step 4: Simplify right side
    299,647.90x = 67,681,346,783.12
  5. Step 5: Solve for x
    x = 67,681,346,783.12/299,647.90
  6. Step 6: Final answer
    x = 225,869.59

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1.5x scale

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.