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Finding the Fourth Proportional to 315,385.60, 472,911.94 and 137,684.56

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Solution

The fourth proportional to 315,385.60, 472,911.94 and 137,684.56 is: 206,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,385.60 : 472,911.94 = 137,684.56 : x
  2. Step 2: Convert to fraction form
    315,385.60/472,911.94 = 137,684.56/x
  3. Step 3: Cross multiply
    315,385.60x = 472,911.94 × 137,684.56
  4. Step 4: Simplify right side
    315,385.60x = 65,112,672,377.65
  5. Step 5: Solve for x
    x = 65,112,672,377.65/315,385.60
  6. Step 6: Final answer
    x = 206,454.17

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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.