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Finding the Fourth Proportional to 200,204,584.80, 300,306,877.20 and 157,206,415.20

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Solution

The fourth proportional to 200,204,584.80, 300,306,877.20 and 157,206,415.20 is: 235,809,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204,584.80 : 300,306,877.20 = 157,206,415.20 : x
  2. Step 2: Convert to fraction form
    200,204,584.80/300,306,877.20 = 157,206,415.20/x
  3. Step 3: Cross multiply
    200,204,584.80x = 300,306,877.20 × 157,206,415.20
  4. Step 4: Simplify right side
    200,204,584.80x = 47,210,167,624,518,608
  5. Step 5: Solve for x
    x = 47,210,167,624,518,608/200,204,584.80
  6. Step 6: Final answer
    x = 235,809,622.80

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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.