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Finding the Fourth Proportional to 384,189.80, 576,279.30 and 173,827.40

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Solution

The fourth proportional to 384,189.80, 576,279.30 and 173,827.40 is: 260,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,189.80 : 576,279.30 = 173,827.40 : x
  2. Step 2: Convert to fraction form
    384,189.80/576,279.30 = 173,827.40/x
  3. Step 3: Cross multiply
    384,189.80x = 576,279.30 × 173,827.40
  4. Step 4: Simplify right side
    384,189.80x = 100,173,132,392.82
  5. Step 5: Solve for x
    x = 100,173,132,392.82/384,189.80
  6. Step 6: Final answer
    x = 260,738.66

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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.