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Finding the Fourth Proportional to 310,584, 465,876 and 77,112

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Solution

The fourth proportional to 310,584, 465,876 and 77,112 is: 115,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,584 : 465,876 = 77,112 : x
  2. Step 2: Convert to fraction form
    310,584/465,876 = 77,112/x
  3. Step 3: Cross multiply
    310,584x = 465,876 × 77,112
  4. Step 4: Simplify right side
    310,584x = 35,924,630,112
  5. Step 5: Solve for x
    x = 35,924,630,112/310,584
  6. Step 6: Final answer
    x = 115,668

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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.