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Finding the Fourth Proportional to 289,976.16, 399,257.76 and 263,404.12

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Solution

The fourth proportional to 289,976.16, 399,257.76 and 263,404.12 is: 362,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,976.16 : 399,257.76 = 263,404.12 : x
  2. Step 2: Convert to fraction form
    289,976.16/399,257.76 = 263,404.12/x
  3. Step 3: Cross multiply
    289,976.16x = 399,257.76 × 263,404.12
  4. Step 4: Simplify right side
    289,976.16x = 105,166,138,925.97
  5. Step 5: Solve for x
    x = 105,166,138,925.97/289,976.16
  6. Step 6: Final answer
    x = 362,671.67

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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.