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Finding the Fourth Proportional to 471,991.66, 651,345.10 and 257,131.67

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Solution

The fourth proportional to 471,991.66, 651,345.10 and 257,131.67 is: 354,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,991.66 : 651,345.10 = 257,131.67 : x
  2. Step 2: Convert to fraction form
    471,991.66/651,345.10 = 257,131.67/x
  3. Step 3: Cross multiply
    471,991.66x = 651,345.10 × 257,131.67
  4. Step 4: Simplify right side
    471,991.66x = 167,481,449,409.76
  5. Step 5: Solve for x
    x = 167,481,449,409.76/471,991.66
  6. Step 6: Final answer
    x = 354,839.85

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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.