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Finding the Fourth Proportional to 370,326.68, 511,082.28 and 209,211.30

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Solution

The fourth proportional to 370,326.68, 511,082.28 and 209,211.30 is: 288,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,326.68 : 511,082.28 = 209,211.30 : x
  2. Step 2: Convert to fraction form
    370,326.68/511,082.28 = 209,211.30/x
  3. Step 3: Cross multiply
    370,326.68x = 511,082.28 × 209,211.30
  4. Step 4: Simplify right side
    370,326.68x = 106,924,188,205.76
  5. Step 5: Solve for x
    x = 106,924,188,205.76/370,326.68
  6. Step 6: Final answer
    x = 288,729.37

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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.