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Finding the Fourth Proportional to 276,573.90, 381,719.64 and 160,271.07

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Solution

The fourth proportional to 276,573.90, 381,719.64 and 160,271.07 is: 221,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,573.90 : 381,719.64 = 160,271.07 : x
  2. Step 2: Convert to fraction form
    276,573.90/381,719.64 = 160,271.07/x
  3. Step 3: Cross multiply
    276,573.90x = 381,719.64 × 160,271.07
  4. Step 4: Simplify right side
    276,573.90x = 61,178,615,142.81
  5. Step 5: Solve for x
    x = 61,178,615,142.81/276,573.90
  6. Step 6: Final answer
    x = 221,201.69

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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.