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Finding the Fourth Proportional to 477,220.78, 715,831.32 and 140,261.49

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Solution

The fourth proportional to 477,220.78, 715,831.32 and 140,261.49 is: 210,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,220.78 : 715,831.32 = 140,261.49 : x
  2. Step 2: Convert to fraction form
    477,220.78/715,831.32 = 140,261.49/x
  3. Step 3: Cross multiply
    477,220.78x = 715,831.32 × 140,261.49
  4. Step 4: Simplify right side
    477,220.78x = 100,403,568,057.85
  5. Step 5: Solve for x
    x = 100,403,568,057.85/477,220.78
  6. Step 6: Final answer
    x = 210,392.28

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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.