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Finding the Fourth Proportional to 277,722.82, 416,599.78 and 78,027.63

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Solution

The fourth proportional to 277,722.82, 416,599.78 and 78,027.63 is: 117,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,722.82 : 416,599.78 = 78,027.63 : x
  2. Step 2: Convert to fraction form
    277,722.82/416,599.78 = 78,027.63/x
  3. Step 3: Cross multiply
    277,722.82x = 416,599.78 × 78,027.63
  4. Step 4: Simplify right side
    277,722.82x = 32,506,293,491.92
  5. Step 5: Solve for x
    x = 32,506,293,491.92/277,722.82
  6. Step 6: Final answer
    x = 117,045.81

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1.5x scale

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.