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Finding the Fourth Proportional to 312,288, 468,444.96 and 90,672

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Solution

The fourth proportional to 312,288, 468,444.96 and 90,672 is: 136,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288 : 468,444.96 = 90,672 : x
  2. Step 2: Convert to fraction form
    312,288/468,444.96 = 90,672/x
  3. Step 3: Cross multiply
    312,288x = 468,444.96 × 90,672
  4. Step 4: Simplify right side
    312,288x = 42,474,841,413.12
  5. Step 5: Solve for x
    x = 42,474,841,413.12/312,288
  6. Step 6: Final answer
    x = 136,011.76

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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.