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Finding the Fourth Proportional to 387,794.34, 581,377.72 and 174,405.98

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Solution

The fourth proportional to 387,794.34, 581,377.72 and 174,405.98 is: 261,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,794.34 : 581,377.72 = 174,405.98 : x
  2. Step 2: Convert to fraction form
    387,794.34/581,377.72 = 174,405.98/x
  3. Step 3: Cross multiply
    387,794.34x = 581,377.72 × 174,405.98
  4. Step 4: Simplify right side
    387,794.34x = 101,395,751,006.77
  5. Step 5: Solve for x
    x = 101,395,751,006.77/387,794.34
  6. Step 6: Final answer
    x = 261,467.85

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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.