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Finding the Fourth Proportional to 309,772,602.54, 427,469,964.44 and 170,516,164.86

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Solution

The fourth proportional to 309,772,602.54, 427,469,964.44 and 170,516,164.86 is: 235,303,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,772,602.54 : 427,469,964.44 = 170,516,164.86 : x
  2. Step 2: Convert to fraction form
    309,772,602.54/427,469,964.44 = 170,516,164.86/x
  3. Step 3: Cross multiply
    309,772,602.54x = 427,469,964.44 × 170,516,164.86
  4. Step 4: Simplify right side
    309,772,602.54x = 72,890,538,928,296,800
  5. Step 5: Solve for x
    x = 72,890,538,928,296,800/309,772,602.54
  6. Step 6: Final answer
    x = 235,303,375.22

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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.