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Finding the Fourth Proportional to 299,728.47, 413,620.47 and 163,759.50

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Solution

The fourth proportional to 299,728.47, 413,620.47 and 163,759.50 is: 225,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,728.47 : 413,620.47 = 163,759.50 : x
  2. Step 2: Convert to fraction form
    299,728.47/413,620.47 = 163,759.50/x
  3. Step 3: Cross multiply
    299,728.47x = 413,620.47 × 163,759.50
  4. Step 4: Simplify right side
    299,728.47x = 67,734,281,356.97
  5. Step 5: Solve for x
    x = 67,734,281,356.97/299,728.47
  6. Step 6: Final answer
    x = 225,985.48

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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.