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Finding the Fourth Proportional to 366,398.06, 505,620.51 and 205,259.90

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Solution

The fourth proportional to 366,398.06, 505,620.51 and 205,259.90 is: 283,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,398.06 : 505,620.51 = 205,259.90 : x
  2. Step 2: Convert to fraction form
    366,398.06/505,620.51 = 205,259.90/x
  3. Step 3: Cross multiply
    366,398.06x = 505,620.51 × 205,259.90
  4. Step 4: Simplify right side
    366,398.06x = 103,783,615,320.55
  5. Step 5: Solve for x
    x = 103,783,615,320.55/366,398.06
  6. Step 6: Final answer
    x = 283,253.72

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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.