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Finding the Fourth Proportional to 454,364.14, 627,129.42 and 282,412

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Solution

The fourth proportional to 454,364.14, 627,129.42 and 282,412 is: 389,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,364.14 : 627,129.42 = 282,412 : x
  2. Step 2: Convert to fraction form
    454,364.14/627,129.42 = 282,412/x
  3. Step 3: Cross multiply
    454,364.14x = 627,129.42 × 282,412
  4. Step 4: Simplify right side
    454,364.14x = 177,108,873,761.04
  5. Step 5: Solve for x
    x = 177,108,873,761.04/454,364.14
  6. Step 6: Final answer
    x = 389,795.01

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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.