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Finding the Fourth Proportional to 277,880.68, 383,470.32 and 157,019.37

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Solution

The fourth proportional to 277,880.68, 383,470.32 and 157,019.37 is: 216,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,880.68 : 383,470.32 = 157,019.37 : x
  2. Step 2: Convert to fraction form
    277,880.68/383,470.32 = 157,019.37/x
  3. Step 3: Cross multiply
    277,880.68x = 383,470.32 × 157,019.37
  4. Step 4: Simplify right side
    277,880.68x = 60,212,268,060.10
  5. Step 5: Solve for x
    x = 60,212,268,060.10/277,880.68
  6. Step 6: Final answer
    x = 216,683.89

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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.