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Finding the Fourth Proportional to 456,491.25, 684,603 and 171,976.50

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Solution

The fourth proportional to 456,491.25, 684,603 and 171,976.50 is: 257,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,491.25 : 684,603 = 171,976.50 : x
  2. Step 2: Convert to fraction form
    456,491.25/684,603 = 171,976.50/x
  3. Step 3: Cross multiply
    456,491.25x = 684,603 × 171,976.50
  4. Step 4: Simplify right side
    456,491.25x = 117,735,627,829.50
  5. Step 5: Solve for x
    x = 117,735,627,829.50/456,491.25
  6. Step 6: Final answer
    x = 257,914.31

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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.