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Finding the Fourth Proportional to 471,990.96, 651,344.31 and 257,131.17

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Solution

The fourth proportional to 471,990.96, 651,344.31 and 257,131.17 is: 354,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,990.96 : 651,344.31 = 257,131.17 : x
  2. Step 2: Convert to fraction form
    471,990.96/651,344.31 = 257,131.17/x
  3. Step 3: Cross multiply
    471,990.96x = 651,344.31 × 257,131.17
  4. Step 4: Simplify right side
    471,990.96x = 167,480,924,503.14
  5. Step 5: Solve for x
    x = 167,480,924,503.14/471,990.96
  6. Step 6: Final answer
    x = 354,839.26

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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.