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Finding the Fourth Proportional to 392,078.40, 588,117.60 and 377,316.15

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Solution

The fourth proportional to 392,078.40, 588,117.60 and 377,316.15 is: 565,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,078.40 : 588,117.60 = 377,316.15 : x
  2. Step 2: Convert to fraction form
    392,078.40/588,117.60 = 377,316.15/x
  3. Step 3: Cross multiply
    392,078.40x = 588,117.60 × 377,316.15
  4. Step 4: Simplify right side
    392,078.40x = 221,906,268,579.24
  5. Step 5: Solve for x
    x = 221,906,268,579.24/392,078.40
  6. Step 6: Final answer
    x = 565,974.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.