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Finding the Fourth Proportional to 471,969.40, 651,311.89 and 257,104.85

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Solution

The fourth proportional to 471,969.40, 651,311.89 and 257,104.85 is: 354,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,969.40 : 651,311.89 = 257,104.85 : x
  2. Step 2: Convert to fraction form
    471,969.40/651,311.89 = 257,104.85/x
  3. Step 3: Cross multiply
    471,969.40x = 651,311.89 × 257,104.85
  4. Step 4: Simplify right side
    471,969.40x = 167,455,441,239.58
  5. Step 5: Solve for x
    x = 167,455,441,239.58/471,969.40
  6. Step 6: Final answer
    x = 354,801.48

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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.