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Finding the Fourth Proportional to 277,874.85, 383,489.81 and 157,041.21

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Solution

The fourth proportional to 277,874.85, 383,489.81 and 157,041.21 is: 216,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,874.85 : 383,489.81 = 157,041.21 : x
  2. Step 2: Convert to fraction form
    277,874.85/383,489.81 = 157,041.21/x
  3. Step 3: Cross multiply
    277,874.85x = 383,489.81 × 157,041.21
  4. Step 4: Simplify right side
    277,874.85x = 60,223,705,026.86
  5. Step 5: Solve for x
    x = 60,223,705,026.86/277,874.85
  6. Step 6: Final answer
    x = 216,729.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.