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Finding the Fourth Proportional to 300,047.63, 450,292.97 and 142,276.64

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Solution

The fourth proportional to 300,047.63, 450,292.97 and 142,276.64 is: 213,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,047.63 : 450,292.97 = 142,276.64 : x
  2. Step 2: Convert to fraction form
    300,047.63/450,292.97 = 142,276.64/x
  3. Step 3: Cross multiply
    300,047.63x = 450,292.97 × 142,276.64
  4. Step 4: Simplify right side
    300,047.63x = 64,066,170,787.22
  5. Step 5: Solve for x
    x = 64,066,170,787.22/300,047.63
  6. Step 6: Final answer
    x = 213,520.00

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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.