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Finding the Fourth Proportional to 281,055.96, 421,396.67 and 154,755.68

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Solution

The fourth proportional to 281,055.96, 421,396.67 and 154,755.68 is: 232,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,055.96 : 421,396.67 = 154,755.68 : x
  2. Step 2: Convert to fraction form
    281,055.96/421,396.67 = 154,755.68/x
  3. Step 3: Cross multiply
    281,055.96x = 421,396.67 × 154,755.68
  4. Step 4: Simplify right side
    281,055.96x = 65,213,528,215.59
  5. Step 5: Solve for x
    x = 65,213,528,215.59/281,055.96
  6. Step 6: Final answer
    x = 232,030.40

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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.