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Finding the Fourth Proportional to 384,937.20, 577,098.60 and 163,138.80

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Solution

The fourth proportional to 384,937.20, 577,098.60 and 163,138.80 is: 244,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,937.20 : 577,098.60 = 163,138.80 : x
  2. Step 2: Convert to fraction form
    384,937.20/577,098.60 = 163,138.80/x
  3. Step 3: Cross multiply
    384,937.20x = 577,098.60 × 163,138.80
  4. Step 4: Simplify right side
    384,937.20x = 94,147,173,085.68
  5. Step 5: Solve for x
    x = 94,147,173,085.68/384,937.20
  6. Step 6: Final answer
    x = 244,578.01

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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.