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Finding the Fourth Proportional to 264,744.30, 397,116.45 and 212,256.30

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Solution

The fourth proportional to 264,744.30, 397,116.45 and 212,256.30 is: 318,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,744.30 : 397,116.45 = 212,256.30 : x
  2. Step 2: Convert to fraction form
    264,744.30/397,116.45 = 212,256.30/x
  3. Step 3: Cross multiply
    264,744.30x = 397,116.45 × 212,256.30
  4. Step 4: Simplify right side
    264,744.30x = 84,290,468,346.14
  5. Step 5: Solve for x
    x = 84,290,468,346.14/264,744.30
  6. Step 6: Final answer
    x = 318,384.45

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1.5x scale

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.