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Finding the Fourth Proportional to 505,298.69, 697,270.28 and 287,449.39

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Solution

The fourth proportional to 505,298.69, 697,270.28 and 287,449.39 is: 396,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,298.69 : 697,270.28 = 287,449.39 : x
  2. Step 2: Convert to fraction form
    505,298.69/697,270.28 = 287,449.39/x
  3. Step 3: Cross multiply
    505,298.69x = 697,270.28 × 287,449.39
  4. Step 4: Simplify right side
    505,298.69x = 200,429,918,241.34
  5. Step 5: Solve for x
    x = 200,429,918,241.34/505,298.69
  6. Step 6: Final answer
    x = 396,656.32

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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.