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Finding the Fourth Proportional to 340,289.78, 510,395.72 and 90,991.22

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Solution

The fourth proportional to 340,289.78, 510,395.72 and 90,991.22 is: 136,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,289.78 : 510,395.72 = 90,991.22 : x
  2. Step 2: Convert to fraction form
    340,289.78/510,395.72 = 90,991.22/x
  3. Step 3: Cross multiply
    340,289.78x = 510,395.72 × 90,991.22
  4. Step 4: Simplify right side
    340,289.78x = 46,441,526,238.64
  5. Step 5: Solve for x
    x = 46,441,526,238.64/340,289.78
  6. Step 6: Final answer
    x = 136,476.41

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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.