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Finding the Fourth Proportional to 312,306.96, 430,980.03 and 169,063.86

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Solution

The fourth proportional to 312,306.96, 430,980.03 and 169,063.86 is: 233,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.96 : 430,980.03 = 169,063.86 : x
  2. Step 2: Convert to fraction form
    312,306.96/430,980.03 = 169,063.86/x
  3. Step 3: Cross multiply
    312,306.96x = 430,980.03 × 169,063.86
  4. Step 4: Simplify right side
    312,306.96x = 72,863,147,454.72
  5. Step 5: Solve for x
    x = 72,863,147,454.72/312,306.96
  6. Step 6: Final answer
    x = 233,306.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.