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Finding the Fourth Proportional to 493,054.40, 739,063.20 and 193,419.20

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Solution

The fourth proportional to 493,054.40, 739,063.20 and 193,419.20 is: 289,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,054.40 : 739,063.20 = 193,419.20 : x
  2. Step 2: Convert to fraction form
    493,054.40/739,063.20 = 193,419.20/x
  3. Step 3: Cross multiply
    493,054.40x = 739,063.20 × 193,419.20
  4. Step 4: Simplify right side
    493,054.40x = 142,949,012,893.44
  5. Step 5: Solve for x
    x = 142,949,012,893.44/493,054.40
  6. Step 6: Final answer
    x = 289,925.44

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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.