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Finding the Fourth Proportional to 286,249.62, 428,710.02 and 276,285.40

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Solution

The fourth proportional to 286,249.62, 428,710.02 and 276,285.40 is: 413,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,249.62 : 428,710.02 = 276,285.40 : x
  2. Step 2: Convert to fraction form
    286,249.62/428,710.02 = 276,285.40/x
  3. Step 3: Cross multiply
    286,249.62x = 428,710.02 × 276,285.40
  4. Step 4: Simplify right side
    286,249.62x = 118,446,319,359.71
  5. Step 5: Solve for x
    x = 118,446,319,359.71/286,249.62
  6. Step 6: Final answer
    x = 413,786.82

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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.