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Finding the Fourth Proportional to 209,953,848.80, 314,930,773.20 and 197,188,767.20

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Solution

The fourth proportional to 209,953,848.80, 314,930,773.20 and 197,188,767.20 is: 295,783,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,848.80 : 314,930,773.20 = 197,188,767.20 : x
  2. Step 2: Convert to fraction form
    209,953,848.80/314,930,773.20 = 197,188,767.20/x
  3. Step 3: Cross multiply
    209,953,848.80x = 314,930,773.20 × 197,188,767.20
  4. Step 4: Simplify right side
    209,953,848.80x = 62,100,810,920,650,792
  5. Step 5: Solve for x
    x = 62,100,810,920,650,792/209,953,848.80
  6. Step 6: Final answer
    x = 295,783,150.80

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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.