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Finding the Fourth Proportional to 312,458, 468,766.92 and 90,842

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Solution

The fourth proportional to 312,458, 468,766.92 and 90,842 is: 136,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,458 : 468,766.92 = 90,842 : x
  2. Step 2: Convert to fraction form
    312,458/468,766.92 = 90,842/x
  3. Step 3: Cross multiply
    312,458x = 468,766.92 × 90,842
  4. Step 4: Simplify right side
    312,458x = 42,583,724,546.64
  5. Step 5: Solve for x
    x = 42,583,724,546.64/312,458
  6. Step 6: Final answer
    x = 136,286.24

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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.