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Finding the Fourth Proportional to 315,093.30, 472,947.15 and 157,499.70

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Solution

The fourth proportional to 315,093.30, 472,947.15 and 157,499.70 is: 236,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,093.30 : 472,947.15 = 157,499.70 : x
  2. Step 2: Convert to fraction form
    315,093.30/472,947.15 = 157,499.70/x
  3. Step 3: Cross multiply
    315,093.30x = 472,947.15 × 157,499.70
  4. Step 4: Simplify right side
    315,093.30x = 74,489,034,240.86
  5. Step 5: Solve for x
    x = 74,489,034,240.86/315,093.30
  6. Step 6: Final answer
    x = 236,403.10

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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.