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Finding the Fourth Proportional to 290,018,405.70, 435,027,608.55 and 117,500,847.30

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Solution

The fourth proportional to 290,018,405.70, 435,027,608.55 and 117,500,847.30 is: 176,251,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,018,405.70 : 435,027,608.55 = 117,500,847.30 : x
  2. Step 2: Convert to fraction form
    290,018,405.70/435,027,608.55 = 117,500,847.30/x
  3. Step 3: Cross multiply
    290,018,405.70x = 435,027,608.55 × 117,500,847.30
  4. Step 4: Simplify right side
    290,018,405.70x = 51,116,112,603,517,728
  5. Step 5: Solve for x
    x = 51,116,112,603,517,728/290,018,405.70
  6. Step 6: Final answer
    x = 176,251,270.95

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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.