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Finding the Fourth Proportional to 256,134.90, 384,311.70 and 122,946.60

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Solution

The fourth proportional to 256,134.90, 384,311.70 and 122,946.60 is: 184,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134.90 : 384,311.70 = 122,946.60 : x
  2. Step 2: Convert to fraction form
    256,134.90/384,311.70 = 122,946.60/x
  3. Step 3: Cross multiply
    256,134.90x = 384,311.70 × 122,946.60
  4. Step 4: Simplify right side
    256,134.90x = 47,249,816,855.22
  5. Step 5: Solve for x
    x = 47,249,816,855.22/256,134.90
  6. Step 6: Final answer
    x = 184,472.39

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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.