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Finding the Fourth Proportional to 297,671.80, 446,556.90 and 137,907.40

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Solution

The fourth proportional to 297,671.80, 446,556.90 and 137,907.40 is: 206,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,671.80 : 446,556.90 = 137,907.40 : x
  2. Step 2: Convert to fraction form
    297,671.80/446,556.90 = 137,907.40/x
  3. Step 3: Cross multiply
    297,671.80x = 446,556.90 × 137,907.40
  4. Step 4: Simplify right side
    297,671.80x = 61,583,501,031.06
  5. Step 5: Solve for x
    x = 61,583,501,031.06/297,671.80
  6. Step 6: Final answer
    x = 206,883.89

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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.