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Finding the Fourth Proportional to 315,079.12, 472,616.25 and 78,420.21

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Solution

The fourth proportional to 315,079.12, 472,616.25 and 78,420.21 is: 117,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,079.12 : 472,616.25 = 78,420.21 : x
  2. Step 2: Convert to fraction form
    315,079.12/472,616.25 = 78,420.21/x
  3. Step 3: Cross multiply
    315,079.12x = 472,616.25 × 78,420.21
  4. Step 4: Simplify right side
    315,079.12x = 37,062,663,211.33
  5. Step 5: Solve for x
    x = 37,062,663,211.33/315,079.12
  6. Step 6: Final answer
    x = 117,629.70

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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.