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Finding the Fourth Proportional to 313,804.83, 470,703.15 and 77,149.56

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Solution

The fourth proportional to 313,804.83, 470,703.15 and 77,149.56 is: 115,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,804.83 : 470,703.15 = 77,149.56 : x
  2. Step 2: Convert to fraction form
    313,804.83/470,703.15 = 77,149.56/x
  3. Step 3: Cross multiply
    313,804.83x = 470,703.15 × 77,149.56
  4. Step 4: Simplify right side
    313,804.83x = 36,314,542,678.25
  5. Step 5: Solve for x
    x = 36,314,542,678.25/313,804.83
  6. Step 6: Final answer
    x = 115,723.34

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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.