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Finding the Fourth Proportional to 256,593.90, 385,109.55 and 114,657.60

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Solution

The fourth proportional to 256,593.90, 385,109.55 and 114,657.60 is: 172,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,593.90 : 385,109.55 = 114,657.60 : x
  2. Step 2: Convert to fraction form
    256,593.90/385,109.55 = 114,657.60/x
  3. Step 3: Cross multiply
    256,593.90x = 385,109.55 × 114,657.60
  4. Step 4: Simplify right side
    256,593.90x = 44,155,736,740.08
  5. Step 5: Solve for x
    x = 44,155,736,740.08/256,593.90
  6. Step 6: Final answer
    x = 172,084.12

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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.