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Finding the Fourth Proportional to 315,021.88, 472,843.86 and 137,651.32

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Solution

The fourth proportional to 315,021.88, 472,843.86 and 137,651.32 is: 206,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021.88 : 472,843.86 = 137,651.32 : x
  2. Step 2: Convert to fraction form
    315,021.88/472,843.86 = 137,651.32/x
  3. Step 3: Cross multiply
    315,021.88x = 472,843.86 × 137,651.32
  4. Step 4: Simplify right side
    315,021.88x = 65,087,581,482.90
  5. Step 5: Solve for x
    x = 65,087,581,482.90/315,021.88
  6. Step 6: Final answer
    x = 206,612.89

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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.