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Finding the Fourth Proportional to 255,999.60, 384,085.80 and 122,962.80

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Solution

The fourth proportional to 255,999.60, 384,085.80 and 122,962.80 is: 184,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,999.60 : 384,085.80 = 122,962.80 : x
  2. Step 2: Convert to fraction form
    255,999.60/384,085.80 = 122,962.80/x
  3. Step 3: Cross multiply
    255,999.60x = 384,085.80 × 122,962.80
  4. Step 4: Simplify right side
    255,999.60x = 47,228,265,408.24
  5. Step 5: Solve for x
    x = 47,228,265,408.24/255,999.60
  6. Step 6: Final answer
    x = 184,485.70

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1.5x scale

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.