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Finding the Fourth Proportional to 258,302.49, 387,530.28 and 123,467.46

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Solution

The fourth proportional to 258,302.49, 387,530.28 and 123,467.46 is: 185,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,302.49 : 387,530.28 = 123,467.46 : x
  2. Step 2: Convert to fraction form
    258,302.49/387,530.28 = 123,467.46/x
  3. Step 3: Cross multiply
    258,302.49x = 387,530.28 × 123,467.46
  4. Step 4: Simplify right side
    258,302.49x = 47,847,379,344.69
  5. Step 5: Solve for x
    x = 47,847,379,344.69/258,302.49
  6. Step 6: Final answer
    x = 185,237.78

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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.