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Finding the Fourth Proportional to 384,903.64, 577,879.02 and 216,542.44

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Solution

The fourth proportional to 384,903.64, 577,879.02 and 216,542.44 is: 325,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,903.64 : 577,879.02 = 216,542.44 : x
  2. Step 2: Convert to fraction form
    384,903.64/577,879.02 = 216,542.44/x
  3. Step 3: Cross multiply
    384,903.64x = 577,879.02 × 216,542.44
  4. Step 4: Simplify right side
    384,903.64x = 125,135,333,015.61
  5. Step 5: Solve for x
    x = 125,135,333,015.61/384,903.64
  6. Step 6: Final answer
    x = 325,108.21

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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.