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Finding the Fourth Proportional to 214,329.60, 321,494.40 and 147,974.40

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Solution

The fourth proportional to 214,329.60, 321,494.40 and 147,974.40 is: 221,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,329.60 : 321,494.40 = 147,974.40 : x
  2. Step 2: Convert to fraction form
    214,329.60/321,494.40 = 147,974.40/x
  3. Step 3: Cross multiply
    214,329.60x = 321,494.40 × 147,974.40
  4. Step 4: Simplify right side
    214,329.60x = 47,572,940,943.36
  5. Step 5: Solve for x
    x = 47,572,940,943.36/214,329.60
  6. Step 6: Final answer
    x = 221,961.60

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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.