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Finding the Fourth Proportional to 517,107, 775,705.86 and 143,133.24

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Solution

The fourth proportional to 517,107, 775,705.86 and 143,133.24 is: 214,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,107 : 775,705.86 = 143,133.24 : x
  2. Step 2: Convert to fraction form
    517,107/775,705.86 = 143,133.24/x
  3. Step 3: Cross multiply
    517,107x = 775,705.86 × 143,133.24
  4. Step 4: Simplify right side
    517,107x = 111,029,293,028.79
  5. Step 5: Solve for x
    x = 111,029,293,028.79/517,107
  6. Step 6: Final answer
    x = 214,712.42

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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.