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Finding the Fourth Proportional to 313,387.90, 470,268.59 and 113,723.86

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Solution

The fourth proportional to 313,387.90, 470,268.59 and 113,723.86 is: 170,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,387.90 : 470,268.59 = 113,723.86 : x
  2. Step 2: Convert to fraction form
    313,387.90/470,268.59 = 113,723.86/x
  3. Step 3: Cross multiply
    313,387.90x = 470,268.59 × 113,723.86
  4. Step 4: Simplify right side
    313,387.90x = 53,480,759,291.56
  5. Step 5: Solve for x
    x = 53,480,759,291.56/313,387.90
  6. Step 6: Final answer
    x = 170,653.56

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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.