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Finding the Fourth Proportional to 305,782.40, 458,673.60 and 81,142.40

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Solution

The fourth proportional to 305,782.40, 458,673.60 and 81,142.40 is: 121,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,782.40 : 458,673.60 = 81,142.40 : x
  2. Step 2: Convert to fraction form
    305,782.40/458,673.60 = 81,142.40/x
  3. Step 3: Cross multiply
    305,782.40x = 458,673.60 × 81,142.40
  4. Step 4: Simplify right side
    305,782.40x = 37,217,876,720.64
  5. Step 5: Solve for x
    x = 37,217,876,720.64/305,782.40
  6. Step 6: Final answer
    x = 121,713.60

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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.