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Finding the Fourth Proportional to 505,447.15, 697,797.30 and 344,538.58

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Solution

The fourth proportional to 505,447.15, 697,797.30 and 344,538.58 is: 475,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,447.15 : 697,797.30 = 344,538.58 : x
  2. Step 2: Convert to fraction form
    505,447.15/697,797.30 = 344,538.58/x
  3. Step 3: Cross multiply
    505,447.15x = 697,797.30 × 344,538.58
  4. Step 4: Simplify right side
    505,447.15x = 240,418,090,869.83
  5. Step 5: Solve for x
    x = 240,418,090,869.83/505,447.15
  6. Step 6: Final answer
    x = 475,654.26

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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.