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Finding the Fourth Proportional to 262,984.40, 394,246.20 and 157,691.60

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Solution

The fourth proportional to 262,984.40, 394,246.20 and 157,691.60 is: 236,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,984.40 : 394,246.20 = 157,691.60 : x
  2. Step 2: Convert to fraction form
    262,984.40/394,246.20 = 157,691.60/x
  3. Step 3: Cross multiply
    262,984.40x = 394,246.20 × 157,691.60
  4. Step 4: Simplify right side
    262,984.40x = 62,169,314,071.92
  5. Step 5: Solve for x
    x = 62,169,314,071.92/262,984.40
  6. Step 6: Final answer
    x = 236,399.25

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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.