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Finding the Fourth Proportional to 366,216, 505,335.54 and 213,287.64

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Solution

The fourth proportional to 366,216, 505,335.54 and 213,287.64 is: 294,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,216 : 505,335.54 = 213,287.64 : x
  2. Step 2: Convert to fraction form
    366,216/505,335.54 = 213,287.64/x
  3. Step 3: Cross multiply
    366,216x = 505,335.54 × 213,287.64
  4. Step 4: Simplify right side
    366,216x = 107,781,824,734.73
  5. Step 5: Solve for x
    x = 107,781,824,734.73/366,216
  6. Step 6: Final answer
    x = 294,312.17

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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.