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Finding the Fourth Proportional to 228,607.35, 315,409.89 and 147,907.05

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Solution

The fourth proportional to 228,607.35, 315,409.89 and 147,907.05 is: 204,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,607.35 : 315,409.89 = 147,907.05 : x
  2. Step 2: Convert to fraction form
    228,607.35/315,409.89 = 147,907.05/x
  3. Step 3: Cross multiply
    228,607.35x = 315,409.89 × 147,907.05
  4. Step 4: Simplify right side
    228,607.35x = 46,651,346,370.72
  5. Step 5: Solve for x
    x = 46,651,346,370.72/228,607.35
  6. Step 6: Final answer
    x = 204,067.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.