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Finding the Fourth Proportional to 286,247.12, 428,706.27 and 276,282.90

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Solution

The fourth proportional to 286,247.12, 428,706.27 and 276,282.90 is: 413,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,247.12 : 428,706.27 = 276,282.90 : x
  2. Step 2: Convert to fraction form
    286,247.12/428,706.27 = 276,282.90/x
  3. Step 3: Cross multiply
    286,247.12x = 428,706.27 × 276,282.90
  4. Step 4: Simplify right side
    286,247.12x = 118,444,211,523.78
  5. Step 5: Solve for x
    x = 118,444,211,523.78/286,247.12
  6. Step 6: Final answer
    x = 413,783.08

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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.