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Finding the Fourth Proportional to 456,288.31, 684,528.86 and 171,972.84

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Solution

The fourth proportional to 456,288.31, 684,528.86 and 171,972.84 is: 257,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,288.31 : 684,528.86 = 171,972.84 : x
  2. Step 2: Convert to fraction form
    456,288.31/684,528.86 = 171,972.84/x
  3. Step 3: Cross multiply
    456,288.31x = 684,528.86 × 171,972.84
  4. Step 4: Simplify right side
    456,288.31x = 117,720,372,116.16
  5. Step 5: Solve for x
    x = 117,720,372,116.16/456,288.31
  6. Step 6: Final answer
    x = 257,995.59

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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.