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Finding the Fourth Proportional to 277,765.25, 383,314.86 and 155,257.47

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Solution

The fourth proportional to 277,765.25, 383,314.86 and 155,257.47 is: 214,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,765.25 : 383,314.86 = 155,257.47 : x
  2. Step 2: Convert to fraction form
    277,765.25/383,314.86 = 155,257.47/x
  3. Step 3: Cross multiply
    277,765.25x = 383,314.86 × 155,257.47
  4. Step 4: Simplify right side
    277,765.25x = 59,512,495,377.00
  5. Step 5: Solve for x
    x = 59,512,495,377.00/277,765.25
  6. Step 6: Final answer
    x = 214,254.65

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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.