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Finding the Fourth Proportional to 270,671.68, 405,997.80 and 70,990.48

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Solution

The fourth proportional to 270,671.68, 405,997.80 and 70,990.48 is: 106,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,671.68 : 405,997.80 = 70,990.48 : x
  2. Step 2: Convert to fraction form
    270,671.68/405,997.80 = 70,990.48/x
  3. Step 3: Cross multiply
    270,671.68x = 405,997.80 × 70,990.48
  4. Step 4: Simplify right side
    270,671.68x = 28,821,978,700.94
  5. Step 5: Solve for x
    x = 28,821,978,700.94/270,671.68
  6. Step 6: Final answer
    x = 106,483.17

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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.