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Finding the Fourth Proportional to 209,952,323.70, 314,928,485.55 and 133,046,906.10

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Solution

The fourth proportional to 209,952,323.70, 314,928,485.55 and 133,046,906.10 is: 199,570,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,323.70 : 314,928,485.55 = 133,046,906.10 : x
  2. Step 2: Convert to fraction form
    209,952,323.70/314,928,485.55 = 133,046,906.10/x
  3. Step 3: Cross multiply
    209,952,323.70x = 314,928,485.55 × 133,046,906.10
  4. Step 4: Simplify right side
    209,952,323.70x = 41,900,260,645,186,056
  5. Step 5: Solve for x
    x = 41,900,260,645,186,056/209,952,323.70
  6. Step 6: Final answer
    x = 199,570,359.15

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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.