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Finding the Fourth Proportional to 492,400.38, 738,699.93 and 155,493.66

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Solution

The fourth proportional to 492,400.38, 738,699.93 and 155,493.66 is: 233,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,400.38 : 738,699.93 = 155,493.66 : x
  2. Step 2: Convert to fraction form
    492,400.38/738,699.93 = 155,493.66/x
  3. Step 3: Cross multiply
    492,400.38x = 738,699.93 × 155,493.66
  4. Step 4: Simplify right side
    492,400.38x = 114,863,155,757.44
  5. Step 5: Solve for x
    x = 114,863,155,757.44/492,400.38
  6. Step 6: Final answer
    x = 233,271.87

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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.