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Finding the Fourth Proportional to 713,742.80, 1,070,811.84 and 329,609

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Solution

The fourth proportional to 713,742.80, 1,070,811.84 and 329,609 is: 494,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,742.80 : 1,070,811.84 = 329,609 : x
  2. Step 2: Convert to fraction form
    713,742.80/1,070,811.84 = 329,609/x
  3. Step 3: Cross multiply
    713,742.80x = 1,070,811.84 × 329,609
  4. Step 4: Simplify right side
    713,742.80x = 352,949,219,770.56
  5. Step 5: Solve for x
    x = 352,949,219,770.56/713,742.80
  6. Step 6: Final answer
    x = 494,504.77

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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.