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Finding the Fourth Proportional to 284,659.23, 426,643.59 and 209,078.56

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Solution

The fourth proportional to 284,659.23, 426,643.59 and 209,078.56 is: 313,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,659.23 : 426,643.59 = 209,078.56 : x
  2. Step 2: Convert to fraction form
    284,659.23/426,643.59 = 209,078.56/x
  3. Step 3: Cross multiply
    284,659.23x = 426,643.59 × 209,078.56
  4. Step 4: Simplify right side
    284,659.23x = 89,202,027,430.43
  5. Step 5: Solve for x
    x = 89,202,027,430.43/284,659.23
  6. Step 6: Final answer
    x = 313,364.25

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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.