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Finding the Fourth Proportional to 217,853.22, 300,739.84 and 145,376.72

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Solution

The fourth proportional to 217,853.22, 300,739.84 and 145,376.72 is: 200,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,853.22 : 300,739.84 = 145,376.72 : x
  2. Step 2: Convert to fraction form
    217,853.22/300,739.84 = 145,376.72/x
  3. Step 3: Cross multiply
    217,853.22x = 300,739.84 × 145,376.72
  4. Step 4: Simplify right side
    217,853.22x = 43,720,572,464.82
  5. Step 5: Solve for x
    x = 43,720,572,464.82/217,853.22
  6. Step 6: Final answer
    x = 200,688.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.