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Finding the Fourth Proportional to 288,361.44, 431,690.45 and 212,980.95

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Solution

The fourth proportional to 288,361.44, 431,690.45 and 212,980.95 is: 318,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,361.44 : 431,690.45 = 212,980.95 : x
  2. Step 2: Convert to fraction form
    288,361.44/431,690.45 = 212,980.95/x
  3. Step 3: Cross multiply
    288,361.44x = 431,690.45 × 212,980.95
  4. Step 4: Simplify right side
    288,361.44x = 91,941,841,082.02
  5. Step 5: Solve for x
    x = 91,941,841,082.02/288,361.44
  6. Step 6: Final answer
    x = 318,842.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.