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Finding the Fourth Proportional to 277,919.81, 416,842.81 and 78,255.76

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Solution

The fourth proportional to 277,919.81, 416,842.81 and 78,255.76 is: 117,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,919.81 : 416,842.81 = 78,255.76 : x
  2. Step 2: Convert to fraction form
    277,919.81/416,842.81 = 78,255.76/x
  3. Step 3: Cross multiply
    277,919.81x = 416,842.81 × 78,255.76
  4. Step 4: Simplify right side
    277,919.81x = 32,620,350,897.09
  5. Step 5: Solve for x
    x = 32,620,350,897.09/277,919.81
  6. Step 6: Final answer
    x = 117,373.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.