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Finding the Fourth Proportional to 277,806.39, 416,423.55 and 109,258.38

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Solution

The fourth proportional to 277,806.39, 416,423.55 and 109,258.38 is: 163,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,806.39 : 416,423.55 = 109,258.38 : x
  2. Step 2: Convert to fraction form
    277,806.39/416,423.55 = 109,258.38/x
  3. Step 3: Cross multiply
    277,806.39x = 416,423.55 × 109,258.38
  4. Step 4: Simplify right side
    277,806.39x = 45,497,762,466.85
  5. Step 5: Solve for x
    x = 45,497,762,466.85/277,806.39
  6. Step 6: Final answer
    x = 163,775.08

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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.