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Finding the Fourth Proportional to 312,186.40, 467,588.40 and 256,890.40

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Solution

The fourth proportional to 312,186.40, 467,588.40 and 256,890.40 is: 384,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,186.40 : 467,588.40 = 256,890.40 : x
  2. Step 2: Convert to fraction form
    312,186.40/467,588.40 = 256,890.40/x
  3. Step 3: Cross multiply
    312,186.40x = 467,588.40 × 256,890.40
  4. Step 4: Simplify right side
    312,186.40x = 120,118,971,111.36
  5. Step 5: Solve for x
    x = 120,118,971,111.36/312,186.40
  6. Step 6: Final answer
    x = 384,766.83

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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.