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Finding the Fourth Proportional to 380,552.61, 525,198.15 and 210,786.87

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Solution

The fourth proportional to 380,552.61, 525,198.15 and 210,786.87 is: 290,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,552.61 : 525,198.15 = 210,786.87 : x
  2. Step 2: Convert to fraction form
    380,552.61/525,198.15 = 210,786.87/x
  3. Step 3: Cross multiply
    380,552.61x = 525,198.15 × 210,786.87
  4. Step 4: Simplify right side
    380,552.61x = 110,704,874,168.29
  5. Step 5: Solve for x
    x = 110,704,874,168.29/380,552.61
  6. Step 6: Final answer
    x = 290,905.57

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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.