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Finding the Fourth Proportional to 315,220.63, 472,414.31 and 115,348.58

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Solution

The fourth proportional to 315,220.63, 472,414.31 and 115,348.58 is: 172,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,220.63 : 472,414.31 = 115,348.58 : x
  2. Step 2: Convert to fraction form
    315,220.63/472,414.31 = 115,348.58/x
  3. Step 3: Cross multiply
    315,220.63x = 472,414.31 × 115,348.58
  4. Step 4: Simplify right side
    315,220.63x = 54,492,319,253.44
  5. Step 5: Solve for x
    x = 54,492,319,253.44/315,220.63
  6. Step 6: Final answer
    x = 172,870.41

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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.