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Finding the Fourth Proportional to 256,973.42, 385,591.46 and 171,642.47

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Solution

The fourth proportional to 256,973.42, 385,591.46 and 171,642.47 is: 257,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,973.42 : 385,591.46 = 171,642.47 : x
  2. Step 2: Convert to fraction form
    256,973.42/385,591.46 = 171,642.47/x
  3. Step 3: Cross multiply
    256,973.42x = 385,591.46 × 171,642.47
  4. Step 4: Simplify right side
    256,973.42x = 66,183,867,819.14
  5. Step 5: Solve for x
    x = 66,183,867,819.14/256,973.42
  6. Step 6: Final answer
    x = 257,551.41

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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.