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Finding the Fourth Proportional to 309,417.45, 464,126.49 and 84,779.70

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Solution

The fourth proportional to 309,417.45, 464,126.49 and 84,779.70 is: 127,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,417.45 : 464,126.49 = 84,779.70 : x
  2. Step 2: Convert to fraction form
    309,417.45/464,126.49 = 84,779.70/x
  3. Step 3: Cross multiply
    309,417.45x = 464,126.49 × 84,779.70
  4. Step 4: Simplify right side
    309,417.45x = 39,348,504,584.25
  5. Step 5: Solve for x
    x = 39,348,504,584.25/309,417.45
  6. Step 6: Final answer
    x = 127,169.64

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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.