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Finding the Fourth Proportional to 421,892,874.86, 582,414,035.49 and 280,998,568.58

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Solution

The fourth proportional to 421,892,874.86, 582,414,035.49 and 280,998,568.58 is: 387,912,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,892,874.86 : 582,414,035.49 = 280,998,568.58 : x
  2. Step 2: Convert to fraction form
    421,892,874.86/582,414,035.49 = 280,998,568.58/x
  3. Step 3: Cross multiply
    421,892,874.86x = 582,414,035.49 × 280,998,568.58
  4. Step 4: Simplify right side
    421,892,874.86x = 163,657,510,290,679,232
  5. Step 5: Solve for x
    x = 163,657,510,290,679,232/421,892,874.86
  6. Step 6: Final answer
    x = 387,912,477.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.