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Finding the Fourth Proportional to 489,897, 734,846.04 and 194,409

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Solution

The fourth proportional to 489,897, 734,846.04 and 194,409 is: 291,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,897 : 734,846.04 = 194,409 : x
  2. Step 2: Convert to fraction form
    489,897/734,846.04 = 194,409/x
  3. Step 3: Cross multiply
    489,897x = 734,846.04 × 194,409
  4. Step 4: Simplify right side
    489,897x = 142,860,683,790.36
  5. Step 5: Solve for x
    x = 142,860,683,790.36/489,897
  6. Step 6: Final answer
    x = 291,613.71

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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.