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Finding the Fourth Proportional to 281,930, 389,027.64 and 154,572.08

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Solution

The fourth proportional to 281,930, 389,027.64 and 154,572.08 is: 213,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,930 : 389,027.64 = 154,572.08 : x
  2. Step 2: Convert to fraction form
    281,930/389,027.64 = 154,572.08/x
  3. Step 3: Cross multiply
    281,930x = 389,027.64 × 154,572.08
  4. Step 4: Simplify right side
    281,930x = 60,132,811,492.29
  5. Step 5: Solve for x
    x = 60,132,811,492.29/281,930
  6. Step 6: Final answer
    x = 213,289.86

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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.