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Finding the Fourth Proportional to 259,715.70, 389,901.60 and 139,868.10

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Solution

The fourth proportional to 259,715.70, 389,901.60 and 139,868.10 is: 209,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,715.70 : 389,901.60 = 139,868.10 : x
  2. Step 2: Convert to fraction form
    259,715.70/389,901.60 = 139,868.10/x
  3. Step 3: Cross multiply
    259,715.70x = 389,901.60 × 139,868.10
  4. Step 4: Simplify right side
    259,715.70x = 54,534,795,978.96
  5. Step 5: Solve for x
    x = 54,534,795,978.96/259,715.70
  6. Step 6: Final answer
    x = 209,978.82

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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.