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Finding the Fourth Proportional to 370,315.46, 511,076.89 and 209,180.88

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Solution

The fourth proportional to 370,315.46, 511,076.89 and 209,180.88 is: 288,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,315.46 : 511,076.89 = 209,180.88 : x
  2. Step 2: Convert to fraction form
    370,315.46/511,076.89 = 209,180.88/x
  3. Step 3: Cross multiply
    370,315.46x = 511,076.89 × 209,180.88
  4. Step 4: Simplify right side
    370,315.46x = 106,907,516,451.12
  5. Step 5: Solve for x
    x = 106,907,516,451.12/370,315.46
  6. Step 6: Final answer
    x = 288,693.10

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1.5x scale

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.