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Finding the Fourth Proportional to 604,902, 834,418.83 and 378,153.84

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Solution

The fourth proportional to 604,902, 834,418.83 and 378,153.84 is: 521,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,902 : 834,418.83 = 378,153.84 : x
  2. Step 2: Convert to fraction form
    604,902/834,418.83 = 378,153.84/x
  3. Step 3: Cross multiply
    604,902x = 834,418.83 × 378,153.84
  4. Step 4: Simplify right side
    604,902x = 315,538,684,732.81
  5. Step 5: Solve for x
    x = 315,538,684,732.81/604,902
  6. Step 6: Final answer
    x = 521,636.04

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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.