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Finding the Fourth Proportional to 486,694.51, 729,023.42 and 391,409.64

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Solution

The fourth proportional to 486,694.51, 729,023.42 and 391,409.64 is: 586,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,694.51 : 729,023.42 = 391,409.64 : x
  2. Step 2: Convert to fraction form
    486,694.51/729,023.42 = 391,409.64/x
  3. Step 3: Cross multiply
    486,694.51x = 729,023.42 × 391,409.64
  4. Step 4: Simplify right side
    486,694.51x = 285,346,795,352.29
  5. Step 5: Solve for x
    x = 285,346,795,352.29/486,694.51
  6. Step 6: Final answer
    x = 586,295.49

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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.