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Finding the Fourth Proportional to 214,437.60, 321,656.40 and 131,493.60

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Solution

The fourth proportional to 214,437.60, 321,656.40 and 131,493.60 is: 197,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,437.60 : 321,656.40 = 131,493.60 : x
  2. Step 2: Convert to fraction form
    214,437.60/321,656.40 = 131,493.60/x
  3. Step 3: Cross multiply
    214,437.60x = 321,656.40 × 131,493.60
  4. Step 4: Simplify right side
    214,437.60x = 42,295,757,999.04
  5. Step 5: Solve for x
    x = 42,295,757,999.04/214,437.60
  6. Step 6: Final answer
    x = 197,240.40

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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.