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Finding the Fourth Proportional to 387,702.76, 581,446.62 and 107,198.44

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Solution

The fourth proportional to 387,702.76, 581,446.62 and 107,198.44 is: 160,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,702.76 : 581,446.62 = 107,198.44 : x
  2. Step 2: Convert to fraction form
    387,702.76/581,446.62 = 107,198.44/x
  3. Step 3: Cross multiply
    387,702.76x = 581,446.62 × 107,198.44
  4. Step 4: Simplify right side
    387,702.76x = 62,330,170,607.27
  5. Step 5: Solve for x
    x = 62,330,170,607.27/387,702.76
  6. Step 6: Final answer
    x = 160,767.93

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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.