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Finding the Fourth Proportional to 493,055.40, 739,064.70 and 193,420.20

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Solution

The fourth proportional to 493,055.40, 739,064.70 and 193,420.20 is: 289,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,055.40 : 739,064.70 = 193,420.20 : x
  2. Step 2: Convert to fraction form
    493,055.40/739,064.70 = 193,420.20/x
  3. Step 3: Cross multiply
    493,055.40x = 739,064.70 × 193,420.20
  4. Step 4: Simplify right side
    493,055.40x = 142,950,042,086.94
  5. Step 5: Solve for x
    x = 142,950,042,086.94/493,055.40
  6. Step 6: Final answer
    x = 289,926.94

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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.