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Finding the Fourth Proportional to 277,816.94, 416,750.06 and 78,138.98

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Solution

The fourth proportional to 277,816.94, 416,750.06 and 78,138.98 is: 117,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,816.94 : 416,750.06 = 78,138.98 : x
  2. Step 2: Convert to fraction form
    277,816.94/416,750.06 = 78,138.98/x
  3. Step 3: Cross multiply
    277,816.94x = 416,750.06 × 78,138.98
  4. Step 4: Simplify right side
    277,816.94x = 32,564,424,277.75
  5. Step 5: Solve for x
    x = 32,564,424,277.75/277,816.94
  6. Step 6: Final answer
    x = 117,215.40

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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.