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Finding the Fourth Proportional to 384,901.88, 577,205.22 and 132,135.26

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Solution

The fourth proportional to 384,901.88, 577,205.22 and 132,135.26 is: 198,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.88 : 577,205.22 = 132,135.26 : x
  2. Step 2: Convert to fraction form
    384,901.88/577,205.22 = 132,135.26/x
  3. Step 3: Cross multiply
    384,901.88x = 577,205.22 × 132,135.26
  4. Step 4: Simplify right side
    384,901.88x = 76,269,161,818.06
  5. Step 5: Solve for x
    x = 76,269,161,818.06/384,901.88
  6. Step 6: Final answer
    x = 198,152.22

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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.