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Finding the Fourth Proportional to 387,638.80, 581,026.20 and 150,902.80

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Solution

The fourth proportional to 387,638.80, 581,026.20 and 150,902.80 is: 226,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,638.80 : 581,026.20 = 150,902.80 : x
  2. Step 2: Convert to fraction form
    387,638.80/581,026.20 = 150,902.80/x
  3. Step 3: Cross multiply
    387,638.80x = 581,026.20 × 150,902.80
  4. Step 4: Simplify right side
    387,638.80x = 87,678,480,453.36
  5. Step 5: Solve for x
    x = 87,678,480,453.36/387,638.80
  6. Step 6: Final answer
    x = 226,186.03

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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.