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Finding the Fourth Proportional to 456,287.31, 684,527.36 and 171,971.84

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Solution

The fourth proportional to 456,287.31, 684,527.36 and 171,971.84 is: 257,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,287.31 : 684,527.36 = 171,971.84 : x
  2. Step 2: Convert to fraction form
    456,287.31/684,527.36 = 171,971.84/x
  3. Step 3: Cross multiply
    456,287.31x = 684,527.36 × 171,971.84
  4. Step 4: Simplify right side
    456,287.31x = 117,719,430,481.00
  5. Step 5: Solve for x
    x = 117,719,430,481.00/456,287.31
  6. Step 6: Final answer
    x = 257,994.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.