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Finding the Fourth Proportional to 315,102.76, 472,515.90 and 115,371.40

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Solution

The fourth proportional to 315,102.76, 472,515.90 and 115,371.40 is: 173,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,102.76 : 472,515.90 = 115,371.40 : x
  2. Step 2: Convert to fraction form
    315,102.76/472,515.90 = 115,371.40/x
  3. Step 3: Cross multiply
    315,102.76x = 472,515.90 × 115,371.40
  4. Step 4: Simplify right side
    315,102.76x = 54,514,820,905.26
  5. Step 5: Solve for x
    x = 54,514,820,905.26/315,102.76
  6. Step 6: Final answer
    x = 173,006.48

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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.