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Finding the Fourth Proportional to 464,101.68, 640,576.44 and 285,150

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Solution

The fourth proportional to 464,101.68, 640,576.44 and 285,150 is: 393,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,101.68 : 640,576.44 = 285,150 : x
  2. Step 2: Convert to fraction form
    464,101.68/640,576.44 = 285,150/x
  3. Step 3: Cross multiply
    464,101.68x = 640,576.44 × 285,150
  4. Step 4: Simplify right side
    464,101.68x = 182,660,371,866.00
  5. Step 5: Solve for x
    x = 182,660,371,866.00/464,101.68
  6. Step 6: Final answer
    x = 393,578.35

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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.