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Finding the Fourth Proportional to 370,820.82, 511,742.78 and 209,699.88

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Solution

The fourth proportional to 370,820.82, 511,742.78 and 209,699.88 is: 289,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,820.82 : 511,742.78 = 209,699.88 : x
  2. Step 2: Convert to fraction form
    370,820.82/511,742.78 = 209,699.88/x
  3. Step 3: Cross multiply
    370,820.82x = 511,742.78 × 209,699.88
  4. Step 4: Simplify right side
    370,820.82x = 107,312,399,556.87
  5. Step 5: Solve for x
    x = 107,312,399,556.87/370,820.82
  6. Step 6: Final answer
    x = 289,391.52

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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.