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Finding the Fourth Proportional to 471,918, 651,252.56 and 257,059.84

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Solution

The fourth proportional to 471,918, 651,252.56 and 257,059.84 is: 354,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,918 : 651,252.56 = 257,059.84 : x
  2. Step 2: Convert to fraction form
    471,918/651,252.56 = 257,059.84/x
  3. Step 3: Cross multiply
    471,918x = 651,252.56 × 257,059.84
  4. Step 4: Simplify right side
    471,918x = 167,410,878,873.19
  5. Step 5: Solve for x
    x = 167,410,878,873.19/471,918
  6. Step 6: Final answer
    x = 354,745.69

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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.