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Finding the Fourth Proportional to 471,976.50, 651,321.64 and 257,111.96

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Solution

The fourth proportional to 471,976.50, 651,321.64 and 257,111.96 is: 354,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,976.50 : 651,321.64 = 257,111.96 : x
  2. Step 2: Convert to fraction form
    471,976.50/651,321.64 = 257,111.96/x
  3. Step 3: Cross multiply
    471,976.50x = 651,321.64 × 257,111.96
  4. Step 4: Simplify right side
    471,976.50x = 167,462,580,515.60
  5. Step 5: Solve for x
    x = 167,462,580,515.60/471,976.50
  6. Step 6: Final answer
    x = 354,811.27

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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.