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Finding the Fourth Proportional to 299,385.08, 413,160 and 163,427.48

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Solution

The fourth proportional to 299,385.08, 413,160 and 163,427.48 is: 225,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,385.08 : 413,160 = 163,427.48 : x
  2. Step 2: Convert to fraction form
    299,385.08/413,160 = 163,427.48/x
  3. Step 3: Cross multiply
    299,385.08x = 413,160 × 163,427.48
  4. Step 4: Simplify right side
    299,385.08x = 67,521,697,636.80
  5. Step 5: Solve for x
    x = 67,521,697,636.80/299,385.08
  6. Step 6: Final answer
    x = 225,534.61

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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.