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Finding the Fourth Proportional to 311,985.80, 467,978.70 and 259,497.80

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Solution

The fourth proportional to 311,985.80, 467,978.70 and 259,497.80 is: 389,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,985.80 : 467,978.70 = 259,497.80 : x
  2. Step 2: Convert to fraction form
    311,985.80/467,978.70 = 259,497.80/x
  3. Step 3: Cross multiply
    311,985.80x = 467,978.70 × 259,497.80
  4. Step 4: Simplify right side
    311,985.80x = 121,439,443,096.86
  5. Step 5: Solve for x
    x = 121,439,443,096.86/311,985.80
  6. Step 6: Final answer
    x = 389,246.70

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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.