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Finding the Fourth Proportional to 380,396.54, 524,940.81 and 210,627.02

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Solution

The fourth proportional to 380,396.54, 524,940.81 and 210,627.02 is: 290,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,396.54 : 524,940.81 = 210,627.02 : x
  2. Step 2: Convert to fraction form
    380,396.54/524,940.81 = 210,627.02/x
  3. Step 3: Cross multiply
    380,396.54x = 524,940.81 × 210,627.02
  4. Step 4: Simplify right side
    380,396.54x = 110,566,718,486.69
  5. Step 5: Solve for x
    x = 110,566,718,486.69/380,396.54
  6. Step 6: Final answer
    x = 290,661.74

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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.