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Finding the Fourth Proportional to 256,784.40, 385,169.40 and 116,542.80

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Solution

The fourth proportional to 256,784.40, 385,169.40 and 116,542.80 is: 174,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,784.40 : 385,169.40 = 116,542.80 : x
  2. Step 2: Convert to fraction form
    256,784.40/385,169.40 = 116,542.80/x
  3. Step 3: Cross multiply
    256,784.40x = 385,169.40 × 116,542.80
  4. Step 4: Simplify right side
    256,784.40x = 44,888,720,350.32
  5. Step 5: Solve for x
    x = 44,888,720,350.32/256,784.40
  6. Step 6: Final answer
    x = 174,810.93

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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.