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Finding the Fourth Proportional to 370,934.90, 511,884.03 and 209,783.90

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Solution

The fourth proportional to 370,934.90, 511,884.03 and 209,783.90 is: 289,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,934.90 : 511,884.03 = 209,783.90 : x
  2. Step 2: Convert to fraction form
    370,934.90/511,884.03 = 209,783.90/x
  3. Step 3: Cross multiply
    370,934.90x = 511,884.03 × 209,783.90
  4. Step 4: Simplify right side
    370,934.90x = 107,385,028,161.12
  5. Step 5: Solve for x
    x = 107,385,028,161.12/370,934.90
  6. Step 6: Final answer
    x = 289,498.31

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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.