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Finding the Fourth Proportional to 604,914.30, 906,334.65 and 394,443.90

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Solution

The fourth proportional to 604,914.30, 906,334.65 and 394,443.90 is: 590,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,914.30 : 906,334.65 = 394,443.90 : x
  2. Step 2: Convert to fraction form
    604,914.30/906,334.65 = 394,443.90/x
  3. Step 3: Cross multiply
    604,914.30x = 906,334.65 × 394,443.90
  4. Step 4: Simplify right side
    604,914.30x = 357,498,174,051.14
  5. Step 5: Solve for x
    x = 357,498,174,051.14/604,914.30
  6. Step 6: Final answer
    x = 590,989.79

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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.