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Finding the Fourth Proportional to 259,728.40, 389,511.60 and 102,005.20

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Solution

The fourth proportional to 259,728.40, 389,511.60 and 102,005.20 is: 152,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,728.40 : 389,511.60 = 102,005.20 : x
  2. Step 2: Convert to fraction form
    259,728.40/389,511.60 = 102,005.20/x
  3. Step 3: Cross multiply
    259,728.40x = 389,511.60 × 102,005.20
  4. Step 4: Simplify right side
    259,728.40x = 39,732,208,660.32
  5. Step 5: Solve for x
    x = 39,732,208,660.32/259,728.40
  6. Step 6: Final answer
    x = 152,975.99

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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.