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Finding the Fourth Proportional to 421,002.82, 631,078.62 and 181,273.06

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Solution

The fourth proportional to 421,002.82, 631,078.62 and 181,273.06 is: 271,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,002.82 : 631,078.62 = 181,273.06 : x
  2. Step 2: Convert to fraction form
    421,002.82/631,078.62 = 181,273.06/x
  3. Step 3: Cross multiply
    421,002.82x = 631,078.62 × 181,273.06
  4. Step 4: Simplify right side
    421,002.82x = 114,397,552,547.98
  5. Step 5: Solve for x
    x = 114,397,552,547.98/421,002.82
  6. Step 6: Final answer
    x = 271,726.33

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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.