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Finding the Fourth Proportional to 299,687.40, 413,569.44 and 163,722.60

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Solution

The fourth proportional to 299,687.40, 413,569.44 and 163,722.60 is: 225,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,687.40 : 413,569.44 = 163,722.60 : x
  2. Step 2: Convert to fraction form
    299,687.40/413,569.44 = 163,722.60/x
  3. Step 3: Cross multiply
    299,687.40x = 413,569.44 × 163,722.60
  4. Step 4: Simplify right side
    299,687.40x = 67,710,663,997.34
  5. Step 5: Solve for x
    x = 67,710,663,997.34/299,687.40
  6. Step 6: Final answer
    x = 225,937.64

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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.