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Finding the Fourth Proportional to 370,805.80, 511,722.08 and 209,684.95

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Solution

The fourth proportional to 370,805.80, 511,722.08 and 209,684.95 is: 289,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,805.80 : 511,722.08 = 209,684.95 : x
  2. Step 2: Convert to fraction form
    370,805.80/511,722.08 = 209,684.95/x
  3. Step 3: Cross multiply
    370,805.80x = 511,722.08 × 209,684.95
  4. Step 4: Simplify right side
    370,805.80x = 107,300,420,685.46
  5. Step 5: Solve for x
    x = 107,300,420,685.46/370,805.80
  6. Step 6: Final answer
    x = 289,370.93

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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.