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Finding the Fourth Proportional to 312,136.40, 467,513.40 and 256,840.40

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Solution

The fourth proportional to 312,136.40, 467,513.40 and 256,840.40 is: 384,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,136.40 : 467,513.40 = 256,840.40 : x
  2. Step 2: Convert to fraction form
    312,136.40/467,513.40 = 256,840.40/x
  3. Step 3: Cross multiply
    312,136.40x = 467,513.40 × 256,840.40
  4. Step 4: Simplify right side
    312,136.40x = 120,076,328,661.36
  5. Step 5: Solve for x
    x = 120,076,328,661.36/312,136.40
  6. Step 6: Final answer
    x = 384,691.85

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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.