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Finding the Fourth Proportional to 277,701.86, 383,232.29 and 155,188.86

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Solution

The fourth proportional to 277,701.86, 383,232.29 and 155,188.86 is: 214,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,701.86 : 383,232.29 = 155,188.86 : x
  2. Step 2: Convert to fraction form
    277,701.86/383,232.29 = 155,188.86/x
  3. Step 3: Cross multiply
    277,701.86x = 383,232.29 × 155,188.86
  4. Step 4: Simplify right side
    277,701.86x = 59,473,379,508.18
  5. Step 5: Solve for x
    x = 59,473,379,508.18/277,701.86
  6. Step 6: Final answer
    x = 214,162.70

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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.