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Finding the Fourth Proportional to 276,045.84, 380,956.77 and 155,225.16

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Solution

The fourth proportional to 276,045.84, 380,956.77 and 155,225.16 is: 214,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,045.84 : 380,956.77 = 155,225.16 : x
  2. Step 2: Convert to fraction form
    276,045.84/380,956.77 = 155,225.16/x
  3. Step 3: Cross multiply
    276,045.84x = 380,956.77 × 155,225.16
  4. Step 4: Simplify right side
    276,045.84x = 59,134,075,576.33
  5. Step 5: Solve for x
    x = 59,134,075,576.33/276,045.84
  6. Step 6: Final answer
    x = 214,218.32

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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.