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Finding the Fourth Proportional to 357,164.40, 535,309.20 and 157,272.60

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Solution

The fourth proportional to 357,164.40, 535,309.20 and 157,272.60 is: 235,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,164.40 : 535,309.20 = 157,272.60 : x
  2. Step 2: Convert to fraction form
    357,164.40/535,309.20 = 157,272.60/x
  3. Step 3: Cross multiply
    357,164.40x = 535,309.20 × 157,272.60
  4. Step 4: Simplify right side
    357,164.40x = 84,189,469,687.92
  5. Step 5: Solve for x
    x = 84,189,469,687.92/357,164.40
  6. Step 6: Final answer
    x = 235,716.30

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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.