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Finding the Fourth Proportional to 313,403.88, 470,292.62 and 113,739.87

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Solution

The fourth proportional to 313,403.88, 470,292.62 and 113,739.87 is: 170,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,403.88 : 470,292.62 = 113,739.87 : x
  2. Step 2: Convert to fraction form
    313,403.88/470,292.62 = 113,739.87/x
  3. Step 3: Cross multiply
    313,403.88x = 470,292.62 × 113,739.87
  4. Step 4: Simplify right side
    313,403.88x = 53,491,021,460.76
  5. Step 5: Solve for x
    x = 53,491,021,460.76/313,403.88
  6. Step 6: Final answer
    x = 170,677.60

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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.