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Finding the Fourth Proportional to 299,980.40, 413,972.76 and 164,014.88

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Solution

The fourth proportional to 299,980.40, 413,972.76 and 164,014.88 is: 226,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,980.40 : 413,972.76 = 164,014.88 : x
  2. Step 2: Convert to fraction form
    299,980.40/413,972.76 = 164,014.88/x
  3. Step 3: Cross multiply
    299,980.40x = 413,972.76 × 164,014.88
  4. Step 4: Simplify right side
    299,980.40x = 67,897,692,554.67
  5. Step 5: Solve for x
    x = 67,897,692,554.67/299,980.40
  6. Step 6: Final answer
    x = 226,340.43

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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.