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Finding the Fourth Proportional to 978,685,396.74, 1,467,572,917.23 and 356,467,450.50

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Solution

The fourth proportional to 978,685,396.74, 1,467,572,917.23 and 356,467,450.50 is: 534,535,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,685,396.74 : 1,467,572,917.23 = 356,467,450.50 : x
  2. Step 2: Convert to fraction form
    978,685,396.74/1,467,572,917.23 = 356,467,450.50/x
  3. Step 3: Cross multiply
    978,685,396.74x = 1,467,572,917.23 × 356,467,450.50
  4. Step 4: Simplify right side
    978,685,396.74x = 523,141,976,227,825,600
  5. Step 5: Solve for x
    x = 523,141,976,227,825,600/978,685,396.74
  6. Step 6: Final answer
    x = 534,535,385.91

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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.