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Finding the Fourth Proportional to 398,593,122.40, 597,889,683.60 and 226,406,238.40

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Solution

The fourth proportional to 398,593,122.40, 597,889,683.60 and 226,406,238.40 is: 339,609,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,593,122.40 : 597,889,683.60 = 226,406,238.40 : x
  2. Step 2: Convert to fraction form
    398,593,122.40/597,889,683.60 = 226,406,238.40/x
  3. Step 3: Cross multiply
    398,593,122.40x = 597,889,683.60 × 226,406,238.40
  4. Step 4: Simplify right side
    398,593,122.40x = 135,365,954,242,042,176
  5. Step 5: Solve for x
    x = 135,365,954,242,042,176/398,593,122.40
  6. Step 6: Final answer
    x = 339,609,357.60

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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.