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Finding the Fourth Proportional to 276,653.10, 414,979.65 and 260,031.90

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Solution

The fourth proportional to 276,653.10, 414,979.65 and 260,031.90 is: 390,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,653.10 : 414,979.65 = 260,031.90 : x
  2. Step 2: Convert to fraction form
    276,653.10/414,979.65 = 260,031.90/x
  3. Step 3: Cross multiply
    276,653.10x = 414,979.65 × 260,031.90
  4. Step 4: Simplify right side
    276,653.10x = 107,907,946,850.84
  5. Step 5: Solve for x
    x = 107,907,946,850.84/276,653.10
  6. Step 6: Final answer
    x = 390,047.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.