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Finding the Fourth Proportional to 271,894.98, 407,884.02 and 138,702.60

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Solution

The fourth proportional to 271,894.98, 407,884.02 and 138,702.60 is: 208,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894.98 : 407,884.02 = 138,702.60 : x
  2. Step 2: Convert to fraction form
    271,894.98/407,884.02 = 138,702.60/x
  3. Step 3: Cross multiply
    271,894.98x = 407,884.02 × 138,702.60
  4. Step 4: Simplify right side
    271,894.98x = 56,574,574,072.45
  5. Step 5: Solve for x
    x = 56,574,574,072.45/271,894.98
  6. Step 6: Final answer
    x = 208,075.10

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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.