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Finding the Fourth Proportional to 312,448, 468,751.92 and 90,832

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Solution

The fourth proportional to 312,448, 468,751.92 and 90,832 is: 136,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,448 : 468,751.92 = 90,832 : x
  2. Step 2: Convert to fraction form
    312,448/468,751.92 = 90,832/x
  3. Step 3: Cross multiply
    312,448x = 468,751.92 × 90,832
  4. Step 4: Simplify right side
    312,448x = 42,577,674,397.44
  5. Step 5: Solve for x
    x = 42,577,674,397.44/312,448
  6. Step 6: Final answer
    x = 136,271.23

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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.