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Finding the Fourth Proportional to 299,689.40, 413,572.20 and 163,724.60

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Solution

The fourth proportional to 299,689.40, 413,572.20 and 163,724.60 is: 225,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,689.40 : 413,572.20 = 163,724.60 : x
  2. Step 2: Convert to fraction form
    299,689.40/413,572.20 = 163,724.60/x
  3. Step 3: Cross multiply
    299,689.40x = 413,572.20 × 163,724.60
  4. Step 4: Simplify right side
    299,689.40x = 67,711,943,016.12
  5. Step 5: Solve for x
    x = 67,711,943,016.12/299,689.40
  6. Step 6: Final answer
    x = 225,940.40

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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.