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Finding the Fourth Proportional to 315,380.65, 435,365.27 and 213,553.93

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Solution

The fourth proportional to 315,380.65, 435,365.27 and 213,553.93 is: 294,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,380.65 : 435,365.27 = 213,553.93 : x
  2. Step 2: Convert to fraction form
    315,380.65/435,365.27 = 213,553.93/x
  3. Step 3: Cross multiply
    315,380.65x = 435,365.27 × 213,553.93
  4. Step 4: Simplify right side
    315,380.65x = 92,973,964,394.01
  5. Step 5: Solve for x
    x = 92,973,964,394.01/315,380.65
  6. Step 6: Final answer
    x = 294,799.20

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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.