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Finding the Fourth Proportional to 370,788.72, 511,714.65 and 209,645.34

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Solution

The fourth proportional to 370,788.72, 511,714.65 and 209,645.34 is: 289,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,788.72 : 511,714.65 = 209,645.34 : x
  2. Step 2: Convert to fraction form
    370,788.72/511,714.65 = 209,645.34/x
  3. Step 3: Cross multiply
    370,788.72x = 511,714.65 × 209,645.34
  4. Step 4: Simplify right side
    370,788.72x = 107,278,591,782.23
  5. Step 5: Solve for x
    x = 107,278,591,782.23/370,788.72
  6. Step 6: Final answer
    x = 289,325.39

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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.