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Finding the Fourth Proportional to 312,305.81, 430,981.52 and 169,065.81

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Solution

The fourth proportional to 312,305.81, 430,981.52 and 169,065.81 is: 233,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,305.81 : 430,981.52 = 169,065.81 : x
  2. Step 2: Convert to fraction form
    312,305.81/430,981.52 = 169,065.81/x
  3. Step 3: Cross multiply
    312,305.81x = 430,981.52 × 169,065.81
  4. Step 4: Simplify right side
    312,305.81x = 72,864,238,928.50
  5. Step 5: Solve for x
    x = 72,864,238,928.50/312,305.81
  6. Step 6: Final answer
    x = 233,310.55

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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.