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Finding the Fourth Proportional to 384,901.64, 577,876.02 and 216,540.44

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Solution

The fourth proportional to 384,901.64, 577,876.02 and 216,540.44 is: 325,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.64 : 577,876.02 = 216,540.44 : x
  2. Step 2: Convert to fraction form
    384,901.64/577,876.02 = 216,540.44/x
  3. Step 3: Cross multiply
    384,901.64x = 577,876.02 × 216,540.44
  4. Step 4: Simplify right side
    384,901.64x = 125,133,524,746.87
  5. Step 5: Solve for x
    x = 125,133,524,746.87/384,901.64
  6. Step 6: Final answer
    x = 325,105.20

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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.