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Finding the Fourth Proportional to 312,444, 468,745.92 and 90,828

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Solution

The fourth proportional to 312,444, 468,745.92 and 90,828 is: 136,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,444 : 468,745.92 = 90,828 : x
  2. Step 2: Convert to fraction form
    312,444/468,745.92 = 90,828/x
  3. Step 3: Cross multiply
    312,444x = 468,745.92 × 90,828
  4. Step 4: Simplify right side
    312,444x = 42,575,254,421.76
  5. Step 5: Solve for x
    x = 42,575,254,421.76/312,444
  6. Step 6: Final answer
    x = 136,265.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.