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Finding the Fourth Proportional to 220,656.96, 304,505.76 and 120,056.64

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Solution

The fourth proportional to 220,656.96, 304,505.76 and 120,056.64 is: 165,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,656.96 : 304,505.76 = 120,056.64 : x
  2. Step 2: Convert to fraction form
    220,656.96/304,505.76 = 120,056.64/x
  3. Step 3: Cross multiply
    220,656.96x = 304,505.76 × 120,056.64
  4. Step 4: Simplify right side
    220,656.96x = 36,557,938,406.25
  5. Step 5: Solve for x
    x = 36,557,938,406.25/220,656.96
  6. Step 6: Final answer
    x = 165,677.70

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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.