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Finding the Fourth Proportional to 300,213.06, 450,374.16 and 142,440.06

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Solution

The fourth proportional to 300,213.06, 450,374.16 and 142,440.06 is: 213,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,213.06 : 450,374.16 = 142,440.06 : x
  2. Step 2: Convert to fraction form
    300,213.06/450,374.16 = 142,440.06/x
  3. Step 3: Cross multiply
    300,213.06x = 450,374.16 × 142,440.06
  4. Step 4: Simplify right side
    300,213.06x = 64,151,322,372.85
  5. Step 5: Solve for x
    x = 64,151,322,372.85/300,213.06
  6. Step 6: Final answer
    x = 213,685.98

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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.