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Finding the Fourth Proportional to 393,776.80, 590,742.96 and 144,460.96

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Solution

The fourth proportional to 393,776.80, 590,742.96 and 144,460.96 is: 216,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,776.80 : 590,742.96 = 144,460.96 : x
  2. Step 2: Convert to fraction form
    393,776.80/590,742.96 = 144,460.96/x
  3. Step 3: Cross multiply
    393,776.80x = 590,742.96 × 144,460.96
  4. Step 4: Simplify right side
    393,776.80x = 85,339,295,114.84
  5. Step 5: Solve for x
    x = 85,339,295,114.84/393,776.80
  6. Step 6: Final answer
    x = 216,719.97

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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.