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Finding the Fourth Proportional to 366,210, 505,327.26 and 213,281.64

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Solution

The fourth proportional to 366,210, 505,327.26 and 213,281.64 is: 294,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,210 : 505,327.26 = 213,281.64 : x
  2. Step 2: Convert to fraction form
    366,210/505,327.26 = 213,281.64/x
  3. Step 3: Cross multiply
    366,210x = 505,327.26 × 213,281.64
  4. Step 4: Simplify right side
    366,210x = 107,777,026,749.51
  5. Step 5: Solve for x
    x = 107,777,026,749.51/366,210
  6. Step 6: Final answer
    x = 294,303.89

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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.