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Finding the Fourth Proportional to 214,056.60, 320,793.30 and 142,776.60

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Solution

The fourth proportional to 214,056.60, 320,793.30 and 142,776.60 is: 213,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,056.60 : 320,793.30 = 142,776.60 : x
  2. Step 2: Convert to fraction form
    214,056.60/320,793.30 = 142,776.60/x
  3. Step 3: Cross multiply
    214,056.60x = 320,793.30 × 142,776.60
  4. Step 4: Simplify right side
    214,056.60x = 45,801,776,676.78
  5. Step 5: Solve for x
    x = 45,801,776,676.78/214,056.60
  6. Step 6: Final answer
    x = 213,970.40

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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.