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Finding the Fourth Proportional to 309,494.98, 464,211.38 and 84,878.01

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Solution

The fourth proportional to 309,494.98, 464,211.38 and 84,878.01 is: 127,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,494.98 : 464,211.38 = 84,878.01 : x
  2. Step 2: Convert to fraction form
    309,494.98/464,211.38 = 84,878.01/x
  3. Step 3: Cross multiply
    309,494.98x = 464,211.38 × 84,878.01
  4. Step 4: Simplify right side
    309,494.98x = 39,401,338,365.95
  5. Step 5: Solve for x
    x = 39,401,338,365.95/309,494.98
  6. Step 6: Final answer
    x = 127,308.49

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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.