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Finding the Fourth Proportional to 277,709.76, 416,603.52 and 90,673.92

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Solution

The fourth proportional to 277,709.76, 416,603.52 and 90,673.92 is: 136,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,709.76 : 416,603.52 = 90,673.92 : x
  2. Step 2: Convert to fraction form
    277,709.76/416,603.52 = 90,673.92/x
  3. Step 3: Cross multiply
    277,709.76x = 416,603.52 × 90,673.92
  4. Step 4: Simplify right side
    277,709.76x = 37,775,074,244.20
  5. Step 5: Solve for x
    x = 37,775,074,244.20/277,709.76
  6. Step 6: Final answer
    x = 136,023.57

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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.