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Finding the Fourth Proportional to 312,509.90, 468,765.09 and 75,852.81

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Solution

The fourth proportional to 312,509.90, 468,765.09 and 75,852.81 is: 113,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,509.90 : 468,765.09 = 75,852.81 : x
  2. Step 2: Convert to fraction form
    312,509.90/468,765.09 = 75,852.81/x
  3. Step 3: Cross multiply
    312,509.90x = 468,765.09 × 75,852.81
  4. Step 4: Simplify right side
    312,509.90x = 35,557,149,306.40
  5. Step 5: Solve for x
    x = 35,557,149,306.40/312,509.90
  6. Step 6: Final answer
    x = 113,779.27

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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.