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Finding the Fourth Proportional to 471,643.75, 650,847.99 and 256,784.59

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Solution

The fourth proportional to 471,643.75, 650,847.99 and 256,784.59 is: 354,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,643.75 : 650,847.99 = 256,784.59 : x
  2. Step 2: Convert to fraction form
    471,643.75/650,847.99 = 256,784.59/x
  3. Step 3: Cross multiply
    471,643.75x = 650,847.99 × 256,784.59
  4. Step 4: Simplify right side
    471,643.75x = 167,127,734,264.47
  5. Step 5: Solve for x
    x = 167,127,734,264.47/471,643.75
  6. Step 6: Final answer
    x = 354,351.64

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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.