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Finding the Fourth Proportional to 454,359.16, 627,122.52 and 282,407

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Solution

The fourth proportional to 454,359.16, 627,122.52 and 282,407 is: 389,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,359.16 : 627,122.52 = 282,407 : x
  2. Step 2: Convert to fraction form
    454,359.16/627,122.52 = 282,407/x
  3. Step 3: Cross multiply
    454,359.16x = 627,122.52 × 282,407
  4. Step 4: Simplify right side
    454,359.16x = 177,103,789,505.64
  5. Step 5: Solve for x
    x = 177,103,789,505.64/454,359.16
  6. Step 6: Final answer
    x = 389,788.09

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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.