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Finding the Fourth Proportional to 354,078.06, 531,200.07 and 140,858.07

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Solution

The fourth proportional to 354,078.06, 531,200.07 and 140,858.07 is: 211,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,078.06 : 531,200.07 = 140,858.07 : x
  2. Step 2: Convert to fraction form
    354,078.06/531,200.07 = 140,858.07/x
  3. Step 3: Cross multiply
    354,078.06x = 531,200.07 × 140,858.07
  4. Step 4: Simplify right side
    354,078.06x = 74,823,816,644.06
  5. Step 5: Solve for x
    x = 74,823,816,644.06/354,078.06
  6. Step 6: Final answer
    x = 211,320.12

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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.