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Finding the Fourth Proportional to 370,310.40, 511,028.64 and 209,165.76

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Solution

The fourth proportional to 370,310.40, 511,028.64 and 209,165.76 is: 288,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,310.40 : 511,028.64 = 209,165.76 : x
  2. Step 2: Convert to fraction form
    370,310.40/511,028.64 = 209,165.76/x
  3. Step 3: Cross multiply
    370,310.40x = 511,028.64 × 209,165.76
  4. Step 4: Simplify right side
    370,310.40x = 106,889,693,867.37
  5. Step 5: Solve for x
    x = 106,889,693,867.37/370,310.40
  6. Step 6: Final answer
    x = 288,648.91

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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.