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Finding the Fourth Proportional to 272,874,128.90, 409,311,193.35 and 272,874,128.90

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Solution

The fourth proportional to 272,874,128.90, 409,311,193.35 and 272,874,128.90 is: 409,311,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874,128.90 : 409,311,193.35 = 272,874,128.90 : x
  2. Step 2: Convert to fraction form
    272,874,128.90/409,311,193.35 = 272,874,128.90/x
  3. Step 3: Cross multiply
    272,874,128.90x = 409,311,193.35 × 272,874,128.90
  4. Step 4: Simplify right side
    272,874,128.90x = 111,690,435,334,400,720
  5. Step 5: Solve for x
    x = 111,690,435,334,400,720/272,874,128.90
  6. Step 6: Final answer
    x = 409,311,193.35

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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.