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Finding the Fourth Proportional to 370,970.82, 511,951.32 and 209,822.72

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Solution

The fourth proportional to 370,970.82, 511,951.32 and 209,822.72 is: 289,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,970.82 : 511,951.32 = 209,822.72 : x
  2. Step 2: Convert to fraction form
    370,970.82/511,951.32 = 209,822.72/x
  3. Step 3: Cross multiply
    370,970.82x = 511,951.32 × 209,822.72
  4. Step 4: Simplify right side
    370,970.82x = 107,419,018,469.99
  5. Step 5: Solve for x
    x = 107,419,018,469.99/370,970.82
  6. Step 6: Final answer
    x = 289,561.91

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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.