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Finding the Fourth Proportional to 212,442.40, 317,972.40 and 165,440.80

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Solution

The fourth proportional to 212,442.40, 317,972.40 and 165,440.80 is: 247,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,442.40 : 317,972.40 = 165,440.80 : x
  2. Step 2: Convert to fraction form
    212,442.40/317,972.40 = 165,440.80/x
  3. Step 3: Cross multiply
    212,442.40x = 317,972.40 × 165,440.80
  4. Step 4: Simplify right side
    212,442.40x = 52,605,608,233.92
  5. Step 5: Solve for x
    x = 52,605,608,233.92/212,442.40
  6. Step 6: Final answer
    x = 247,622.92

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1.5x scale

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.