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Finding the Fourth Proportional to 218,276.80, 301,218.96 and 122,783.44

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Solution

The fourth proportional to 218,276.80, 301,218.96 and 122,783.44 is: 169,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,276.80 : 301,218.96 = 122,783.44 : x
  2. Step 2: Convert to fraction form
    218,276.80/301,218.96 = 122,783.44/x
  3. Step 3: Cross multiply
    218,276.80x = 301,218.96 × 122,783.44
  4. Step 4: Simplify right side
    218,276.80x = 36,984,700,102.02
  5. Step 5: Solve for x
    x = 36,984,700,102.02/218,276.80
  6. Step 6: Final answer
    x = 169,439.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.