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Finding the Fourth Proportional to 277,676.61, 416,531.08 and 78,012.58

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Solution

The fourth proportional to 277,676.61, 416,531.08 and 78,012.58 is: 117,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,676.61 : 416,531.08 = 78,012.58 : x
  2. Step 2: Convert to fraction form
    277,676.61/416,531.08 = 78,012.58/x
  3. Step 3: Cross multiply
    277,676.61x = 416,531.08 × 78,012.58
  4. Step 4: Simplify right side
    277,676.61x = 32,494,662,427.86
  5. Step 5: Solve for x
    x = 32,494,662,427.86/277,676.61
  6. Step 6: Final answer
    x = 117,023.40

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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.