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Finding the Fourth Proportional to 316,880.76, 475,316.04 and 76,996.56

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Solution

The fourth proportional to 316,880.76, 475,316.04 and 76,996.56 is: 115,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,880.76 : 475,316.04 = 76,996.56 : x
  2. Step 2: Convert to fraction form
    316,880.76/475,316.04 = 76,996.56/x
  3. Step 3: Cross multiply
    316,880.76x = 475,316.04 × 76,996.56
  4. Step 4: Simplify right side
    316,880.76x = 36,597,699,992.82
  5. Step 5: Solve for x
    x = 36,597,699,992.82/316,880.76
  6. Step 6: Final answer
    x = 115,493.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.