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Finding the Fourth Proportional to 264,913.20, 397,369.80 and 212,425.20

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Solution

The fourth proportional to 264,913.20, 397,369.80 and 212,425.20 is: 318,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,913.20 : 397,369.80 = 212,425.20 : x
  2. Step 2: Convert to fraction form
    264,913.20/397,369.80 = 212,425.20/x
  3. Step 3: Cross multiply
    264,913.20x = 397,369.80 × 212,425.20
  4. Step 4: Simplify right side
    264,913.20x = 84,411,359,238.96
  5. Step 5: Solve for x
    x = 84,411,359,238.96/264,913.20
  6. Step 6: Final answer
    x = 318,637.80

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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.