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Finding the Fourth Proportional to 370,808.56, 511,684.32 and 209,641.24

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Solution

The fourth proportional to 370,808.56, 511,684.32 and 209,641.24 is: 289,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,808.56 : 511,684.32 = 209,641.24 : x
  2. Step 2: Convert to fraction form
    370,808.56/511,684.32 = 209,641.24/x
  3. Step 3: Cross multiply
    370,808.56x = 511,684.32 × 209,641.24
  4. Step 4: Simplify right side
    370,808.56x = 107,270,135,333.36
  5. Step 5: Solve for x
    x = 107,270,135,333.36/370,808.56
  6. Step 6: Final answer
    x = 289,287.11

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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.