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Finding the Fourth Proportional to 477,078.41, 715,972.38 and 192,771.43

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Solution

The fourth proportional to 477,078.41, 715,972.38 and 192,771.43 is: 289,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,078.41 : 715,972.38 = 192,771.43 : x
  2. Step 2: Convert to fraction form
    477,078.41/715,972.38 = 192,771.43/x
  3. Step 3: Cross multiply
    477,078.41x = 715,972.38 × 192,771.43
  4. Step 4: Simplify right side
    477,078.41x = 138,019,018,569.25
  5. Step 5: Solve for x
    x = 138,019,018,569.25/477,078.41
  6. Step 6: Final answer
    x = 289,300.49

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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.