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Finding the Fourth Proportional to 340,784, 470,262.73 and 187,821.72

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Solution

The fourth proportional to 340,784, 470,262.73 and 187,821.72 is: 259,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,784 : 470,262.73 = 187,821.72 : x
  2. Step 2: Convert to fraction form
    340,784/470,262.73 = 187,821.72/x
  3. Step 3: Cross multiply
    340,784x = 470,262.73 × 187,821.72
  4. Step 4: Simplify right side
    340,784x = 88,325,554,800.50
  5. Step 5: Solve for x
    x = 88,325,554,800.50/340,784
  6. Step 6: Final answer
    x = 259,183.40

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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.