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Finding the Fourth Proportional to 505,215.77, 697,314.78 and 333,164.66

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Solution

The fourth proportional to 505,215.77, 697,314.78 and 333,164.66 is: 459,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,215.77 : 697,314.78 = 333,164.66 : x
  2. Step 2: Convert to fraction form
    505,215.77/697,314.78 = 333,164.66/x
  3. Step 3: Cross multiply
    505,215.77x = 697,314.78 × 333,164.66
  4. Step 4: Simplify right side
    505,215.77x = 232,320,638,105.10
  5. Step 5: Solve for x
    x = 232,320,638,105.10/505,215.77
  6. Step 6: Final answer
    x = 459,844.40

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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.