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Finding the Fourth Proportional to 263,272.60, 394,908.90 and 97,125.40

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Solution

The fourth proportional to 263,272.60, 394,908.90 and 97,125.40 is: 145,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,272.60 : 394,908.90 = 97,125.40 : x
  2. Step 2: Convert to fraction form
    263,272.60/394,908.90 = 97,125.40/x
  3. Step 3: Cross multiply
    263,272.60x = 394,908.90 × 97,125.40
  4. Step 4: Simplify right side
    263,272.60x = 38,355,684,876.06
  5. Step 5: Solve for x
    x = 38,355,684,876.06/263,272.60
  6. Step 6: Final answer
    x = 145,688.10

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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.