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Finding the Fourth Proportional to 471,885.75, 651,203.28 and 257,025.15

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Solution

The fourth proportional to 471,885.75, 651,203.28 and 257,025.15 is: 354,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,885.75 : 651,203.28 = 257,025.15 : x
  2. Step 2: Convert to fraction form
    471,885.75/651,203.28 = 257,025.15/x
  3. Step 3: Cross multiply
    471,885.75x = 651,203.28 × 257,025.15
  4. Step 4: Simplify right side
    471,885.75x = 167,375,620,722.49
  5. Step 5: Solve for x
    x = 167,375,620,722.49/471,885.75
  6. Step 6: Final answer
    x = 354,695.22

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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.