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Finding the Fourth Proportional to 281,009.78, 421,317.53 and 103,494.03

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Solution

The fourth proportional to 281,009.78, 421,317.53 and 103,494.03 is: 155,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,009.78 : 421,317.53 = 103,494.03 : x
  2. Step 2: Convert to fraction form
    281,009.78/421,317.53 = 103,494.03/x
  3. Step 3: Cross multiply
    281,009.78x = 421,317.53 × 103,494.03
  4. Step 4: Simplify right side
    281,009.78x = 43,603,849,089.35
  5. Step 5: Solve for x
    x = 43,603,849,089.35/281,009.78
  6. Step 6: Final answer
    x = 155,168.44

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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.