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Finding the Fourth Proportional to 256,641.72, 385,295.36 and 171,795.40

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Solution

The fourth proportional to 256,641.72, 385,295.36 and 171,795.40 is: 257,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,641.72 : 385,295.36 = 171,795.40 : x
  2. Step 2: Convert to fraction form
    256,641.72/385,295.36 = 171,795.40/x
  3. Step 3: Cross multiply
    256,641.72x = 385,295.36 × 171,795.40
  4. Step 4: Simplify right side
    256,641.72x = 66,191,968,667.13
  5. Step 5: Solve for x
    x = 66,191,968,667.13/256,641.72
  6. Step 6: Final answer
    x = 257,915.86

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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.