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Finding the Fourth Proportional to 277,900.60, 416,807.70 and 78,201.40

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Solution

The fourth proportional to 277,900.60, 416,807.70 and 78,201.40 is: 117,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,900.60 : 416,807.70 = 78,201.40 : x
  2. Step 2: Convert to fraction form
    277,900.60/416,807.70 = 78,201.40/x
  3. Step 3: Cross multiply
    277,900.60x = 416,807.70 × 78,201.40
  4. Step 4: Simplify right side
    277,900.60x = 32,594,945,670.78
  5. Step 5: Solve for x
    x = 32,594,945,670.78/277,900.60
  6. Step 6: Final answer
    x = 117,289.94

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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.