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Finding the Fourth Proportional to 340,783.65, 470,262.24 and 187,821.38

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Solution

The fourth proportional to 340,783.65, 470,262.24 and 187,821.38 is: 259,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,783.65 : 470,262.24 = 187,821.38 : x
  2. Step 2: Convert to fraction form
    340,783.65/470,262.24 = 187,821.38/x
  3. Step 3: Cross multiply
    340,783.65x = 470,262.24 × 187,821.38
  4. Step 4: Simplify right side
    340,783.65x = 88,325,304,054.35
  5. Step 5: Solve for x
    x = 88,325,304,054.35/340,783.65
  6. Step 6: Final answer
    x = 259,182.93

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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.