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Finding the Fourth Proportional to 238,968,906.40, 358,453,359.60 and 147,135,901.60

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Solution

The fourth proportional to 238,968,906.40, 358,453,359.60 and 147,135,901.60 is: 220,703,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,968,906.40 : 358,453,359.60 = 147,135,901.60 : x
  2. Step 2: Convert to fraction form
    238,968,906.40/358,453,359.60 = 147,135,901.60/x
  3. Step 3: Cross multiply
    238,968,906.40x = 358,453,359.60 × 147,135,901.60
  4. Step 4: Simplify right side
    238,968,906.40x = 52,741,358,246,295,016
  5. Step 5: Solve for x
    x = 52,741,358,246,295,016/238,968,906.40
  6. Step 6: Final answer
    x = 220,703,852.40

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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.