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Finding the Fourth Proportional to 313,076.22, 431,448.57 and 307,317.93

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Solution

The fourth proportional to 313,076.22, 431,448.57 and 307,317.93 is: 423,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,076.22 : 431,448.57 = 307,317.93 : x
  2. Step 2: Convert to fraction form
    313,076.22/431,448.57 = 307,317.93/x
  3. Step 3: Cross multiply
    313,076.22x = 431,448.57 × 307,317.93
  4. Step 4: Simplify right side
    313,076.22x = 132,591,881,433.86
  5. Step 5: Solve for x
    x = 132,591,881,433.86/313,076.22
  6. Step 6: Final answer
    x = 423,513.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.