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Finding the Fourth Proportional to 286,052.16, 428,809.50 and 96,379.68

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Solution

The fourth proportional to 286,052.16, 428,809.50 and 96,379.68 is: 144,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,052.16 : 428,809.50 = 96,379.68 : x
  2. Step 2: Convert to fraction form
    286,052.16/428,809.50 = 96,379.68/x
  3. Step 3: Cross multiply
    286,052.16x = 428,809.50 × 96,379.68
  4. Step 4: Simplify right side
    286,052.16x = 41,328,522,390.96
  5. Step 5: Solve for x
    x = 41,328,522,390.96/286,052.16
  6. Step 6: Final answer
    x = 144,478.97

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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.