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Finding the Fourth Proportional to 471,786.98, 651,093.35 and 355,291.88

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Solution

The fourth proportional to 471,786.98, 651,093.35 and 355,291.88 is: 490,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,786.98 : 651,093.35 = 355,291.88 : x
  2. Step 2: Convert to fraction form
    471,786.98/651,093.35 = 355,291.88/x
  3. Step 3: Cross multiply
    471,786.98x = 651,093.35 × 355,291.88
  4. Step 4: Simplify right side
    471,786.98x = 231,328,175,345.07
  5. Step 5: Solve for x
    x = 231,328,175,345.07/471,786.98
  6. Step 6: Final answer
    x = 490,323.36

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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.