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Finding the Fourth Proportional to 370,410.88, 511,156.54 and 217,446.64

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Solution

The fourth proportional to 370,410.88, 511,156.54 and 217,446.64 is: 300,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,410.88 : 511,156.54 = 217,446.64 : x
  2. Step 2: Convert to fraction form
    370,410.88/511,156.54 = 217,446.64/x
  3. Step 3: Cross multiply
    370,410.88x = 511,156.54 × 217,446.64
  4. Step 4: Simplify right side
    370,410.88x = 111,149,272,137.03
  5. Step 5: Solve for x
    x = 111,149,272,137.03/370,410.88
  6. Step 6: Final answer
    x = 300,070.21

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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.