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Finding the Fourth Proportional to 394,401.60, 591,602.40 and 113,947.20

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Solution

The fourth proportional to 394,401.60, 591,602.40 and 113,947.20 is: 170,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,401.60 : 591,602.40 = 113,947.20 : x
  2. Step 2: Convert to fraction form
    394,401.60/591,602.40 = 113,947.20/x
  3. Step 3: Cross multiply
    394,401.60x = 591,602.40 × 113,947.20
  4. Step 4: Simplify right side
    394,401.60x = 67,411,436,993.28
  5. Step 5: Solve for x
    x = 67,411,436,993.28/394,401.60
  6. Step 6: Final answer
    x = 170,920.80

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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.