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Finding the Fourth Proportional to 299,933.84, 413,889 and 172,588.88

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Solution

The fourth proportional to 299,933.84, 413,889 and 172,588.88 is: 238,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,933.84 : 413,889 = 172,588.88 : x
  2. Step 2: Convert to fraction form
    299,933.84/413,889 = 172,588.88/x
  3. Step 3: Cross multiply
    299,933.84x = 413,889 × 172,588.88
  4. Step 4: Simplify right side
    299,933.84x = 71,432,638,954.32
  5. Step 5: Solve for x
    x = 71,432,638,954.32/299,933.84
  6. Step 6: Final answer
    x = 238,161.32

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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.