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Finding the Fourth Proportional to 370,932.90, 511,881.27 and 209,781.90

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Solution

The fourth proportional to 370,932.90, 511,881.27 and 209,781.90 is: 289,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,932.90 : 511,881.27 = 209,781.90 : x
  2. Step 2: Convert to fraction form
    370,932.90/511,881.27 = 209,781.90/x
  3. Step 3: Cross multiply
    370,932.90x = 511,881.27 × 209,781.90
  4. Step 4: Simplify right side
    370,932.90x = 107,383,425,395.01
  5. Step 5: Solve for x
    x = 107,383,425,395.01/370,932.90
  6. Step 6: Final answer
    x = 289,495.55

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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.