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Finding the Fourth Proportional to 299,728.40, 413,606.52 and 163,734.80

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Solution

The fourth proportional to 299,728.40, 413,606.52 and 163,734.80 is: 225,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,728.40 : 413,606.52 = 163,734.80 : x
  2. Step 2: Convert to fraction form
    299,728.40/413,606.52 = 163,734.80/x
  3. Step 3: Cross multiply
    299,728.40x = 413,606.52 × 163,734.80
  4. Step 4: Simplify right side
    299,728.40x = 67,721,780,830.90
  5. Step 5: Solve for x
    x = 67,721,780,830.90/299,728.40
  6. Step 6: Final answer
    x = 225,943.82

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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.