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Finding the Fourth Proportional to 370,933.90, 511,882.65 and 209,782.90

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Solution

The fourth proportional to 370,933.90, 511,882.65 and 209,782.90 is: 289,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,933.90 : 511,882.65 = 209,782.90 : x
  2. Step 2: Convert to fraction form
    370,933.90/511,882.65 = 209,782.90/x
  3. Step 3: Cross multiply
    370,933.90x = 511,882.65 × 209,782.90
  4. Step 4: Simplify right side
    370,933.90x = 107,384,226,776.69
  5. Step 5: Solve for x
    x = 107,384,226,776.69/370,933.90
  6. Step 6: Final answer
    x = 289,496.93

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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.