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Finding the Fourth Proportional to 505,684.56, 697,978.80 and 314,589.36

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Solution

The fourth proportional to 505,684.56, 697,978.80 and 314,589.36 is: 434,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,684.56 : 697,978.80 = 314,589.36 : x
  2. Step 2: Convert to fraction form
    505,684.56/697,978.80 = 314,589.36/x
  3. Step 3: Cross multiply
    505,684.56x = 697,978.80 × 314,589.36
  4. Step 4: Simplify right side
    505,684.56x = 219,576,703,985.57
  5. Step 5: Solve for x
    x = 219,576,703,985.57/505,684.56
  6. Step 6: Final answer
    x = 434,216.75

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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.