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Finding the Fourth Proportional to 276,062.84, 380,980.22 and 155,242.16

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Solution

The fourth proportional to 276,062.84, 380,980.22 and 155,242.16 is: 214,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,062.84 : 380,980.22 = 155,242.16 : x
  2. Step 2: Convert to fraction form
    276,062.84/380,980.22 = 155,242.16/x
  3. Step 3: Cross multiply
    276,062.84x = 380,980.22 × 155,242.16
  4. Step 4: Simplify right side
    276,062.84x = 59,144,192,270.08
  5. Step 5: Solve for x
    x = 59,144,192,270.08/276,062.84
  6. Step 6: Final answer
    x = 214,241.77

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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.