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Finding the Fourth Proportional to 299,971.98, 413,960.40 and 164,005.74

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Solution

The fourth proportional to 299,971.98, 413,960.40 and 164,005.74 is: 226,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,971.98 : 413,960.40 = 164,005.74 : x
  2. Step 2: Convert to fraction form
    299,971.98/413,960.40 = 164,005.74/x
  3. Step 3: Cross multiply
    299,971.98x = 413,960.40 × 164,005.74
  4. Step 4: Simplify right side
    299,971.98x = 67,891,881,732.70
  5. Step 5: Solve for x
    x = 67,891,881,732.70/299,971.98
  6. Step 6: Final answer
    x = 226,327.41

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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.