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Finding the Fourth Proportional to 281,064.60, 421,791.30 and 202,235.40

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Solution

The fourth proportional to 281,064.60, 421,791.30 and 202,235.40 is: 303,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,064.60 : 421,791.30 = 202,235.40 : x
  2. Step 2: Convert to fraction form
    281,064.60/421,791.30 = 202,235.40/x
  3. Step 3: Cross multiply
    281,064.60x = 421,791.30 × 202,235.40
  4. Step 4: Simplify right side
    281,064.60x = 85,301,132,272.02
  5. Step 5: Solve for x
    x = 85,301,132,272.02/281,064.60
  6. Step 6: Final answer
    x = 303,492.98

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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.