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Finding the Fourth Proportional to 387,543.96, 581,202.93 and 150,830.37

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Solution

The fourth proportional to 387,543.96, 581,202.93 and 150,830.37 is: 226,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,543.96 : 581,202.93 = 150,830.37 : x
  2. Step 2: Convert to fraction form
    387,543.96/581,202.93 = 150,830.37/x
  3. Step 3: Cross multiply
    387,543.96x = 581,202.93 × 150,830.37
  4. Step 4: Simplify right side
    387,543.96x = 87,663,052,976.98
  5. Step 5: Solve for x
    x = 87,663,052,976.98/387,543.96
  6. Step 6: Final answer
    x = 226,201.57

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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.