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Finding the Fourth Proportional to 276,048.84, 380,960.92 and 155,228.16

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Solution

The fourth proportional to 276,048.84, 380,960.92 and 155,228.16 is: 214,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048.84 : 380,960.92 = 155,228.16 : x
  2. Step 2: Convert to fraction form
    276,048.84/380,960.92 = 155,228.16/x
  3. Step 3: Cross multiply
    276,048.84x = 380,960.92 × 155,228.16
  4. Step 4: Simplify right side
    276,048.84x = 59,135,862,643.51
  5. Step 5: Solve for x
    x = 59,135,862,643.51/276,048.84
  6. Step 6: Final answer
    x = 214,222.46

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1.5x scale

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.