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Finding the Fourth Proportional to 370,959.53, 511,924.19 and 209,811.15

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Solution

The fourth proportional to 370,959.53, 511,924.19 and 209,811.15 is: 289,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,959.53 : 511,924.19 = 209,811.15 : x
  2. Step 2: Convert to fraction form
    370,959.53/511,924.19 = 209,811.15/x
  3. Step 3: Cross multiply
    370,959.53x = 511,924.19 × 209,811.15
  4. Step 4: Simplify right side
    370,959.53x = 107,407,401,967.66
  5. Step 5: Solve for x
    x = 107,407,401,967.66/370,959.53
  6. Step 6: Final answer
    x = 289,539.41

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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.