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Finding the Fourth Proportional to 370,563.60, 511,321.22 and 209,359.83

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Solution

The fourth proportional to 370,563.60, 511,321.22 and 209,359.83 is: 288,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,563.60 : 511,321.22 = 209,359.83 : x
  2. Step 2: Convert to fraction form
    370,563.60/511,321.22 = 209,359.83/x
  3. Step 3: Cross multiply
    370,563.60x = 511,321.22 × 209,359.83
  4. Step 4: Simplify right side
    370,563.60x = 107,050,124,972.90
  5. Step 5: Solve for x
    x = 107,050,124,972.90/370,563.60
  6. Step 6: Final answer
    x = 288,884.62

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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.