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Finding the Fourth Proportional to 209,952,409.80, 314,928,614.70 and 197,187,328.20

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Solution

The fourth proportional to 209,952,409.80, 314,928,614.70 and 197,187,328.20 is: 295,780,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,409.80 : 314,928,614.70 = 197,187,328.20 : x
  2. Step 2: Convert to fraction form
    209,952,409.80/314,928,614.70 = 197,187,328.20/x
  3. Step 3: Cross multiply
    209,952,409.80x = 314,928,614.70 × 197,187,328.20
  4. Step 4: Simplify right side
    209,952,409.80x = 62,099,932,106,420,240
  5. Step 5: Solve for x
    x = 62,099,932,106,420,240/209,952,409.80
  6. Step 6: Final answer
    x = 295,780,992.30

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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.