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Finding the Fourth Proportional to 277,880.53, 383,470.11 and 157,019.21

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Solution

The fourth proportional to 277,880.53, 383,470.11 and 157,019.21 is: 216,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,880.53 : 383,470.11 = 157,019.21 : x
  2. Step 2: Convert to fraction form
    277,880.53/383,470.11 = 157,019.21/x
  3. Step 3: Cross multiply
    277,880.53x = 383,470.11 × 157,019.21
  4. Step 4: Simplify right side
    277,880.53x = 60,212,174,689.49
  5. Step 5: Solve for x
    x = 60,212,174,689.49/277,880.53
  6. Step 6: Final answer
    x = 216,683.68

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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.