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Finding the Fourth Proportional to 312,282, 468,435.96 and 90,666

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Solution

The fourth proportional to 312,282, 468,435.96 and 90,666 is: 136,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,282 : 468,435.96 = 90,666 : x
  2. Step 2: Convert to fraction form
    312,282/468,435.96 = 90,666/x
  3. Step 3: Cross multiply
    312,282x = 468,435.96 × 90,666
  4. Step 4: Simplify right side
    312,282x = 42,471,214,749.36
  5. Step 5: Solve for x
    x = 42,471,214,749.36/312,282
  6. Step 6: Final answer
    x = 136,002.76

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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.