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Finding the Fourth Proportional to 380,395.81, 524,956 and 208,323.25

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Solution

The fourth proportional to 380,395.81, 524,956 and 208,323.25 is: 287,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,395.81 : 524,956 = 208,323.25 : x
  2. Step 2: Convert to fraction form
    380,395.81/524,956 = 208,323.25/x
  3. Step 3: Cross multiply
    380,395.81x = 524,956 × 208,323.25
  4. Step 4: Simplify right side
    380,395.81x = 109,360,540,027
  5. Step 5: Solve for x
    x = 109,360,540,027/380,395.81
  6. Step 6: Final answer
    x = 287,491.44

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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.