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Finding the Fourth Proportional to 276,054.86, 380,953.41 and 155,196.68

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Solution

The fourth proportional to 276,054.86, 380,953.41 and 155,196.68 is: 214,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,054.86 : 380,953.41 = 155,196.68 : x
  2. Step 2: Convert to fraction form
    276,054.86/380,953.41 = 155,196.68/x
  3. Step 3: Cross multiply
    276,054.86x = 380,953.41 × 155,196.68
  4. Step 4: Simplify right side
    276,054.86x = 59,122,704,466.68
  5. Step 5: Solve for x
    x = 59,122,704,466.68/276,054.86
  6. Step 6: Final answer
    x = 214,170.13

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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.