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Finding the Fourth Proportional to 450,656, 676,309.64 and 177,142.96

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Solution

The fourth proportional to 450,656, 676,309.64 and 177,142.96 is: 265,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,656 : 676,309.64 = 177,142.96 : x
  2. Step 2: Convert to fraction form
    450,656/676,309.64 = 177,142.96/x
  3. Step 3: Cross multiply
    450,656x = 676,309.64 × 177,142.96
  4. Step 4: Simplify right side
    450,656x = 119,803,491,506.13
  5. Step 5: Solve for x
    x = 119,803,491,506.13/450,656
  6. Step 6: Final answer
    x = 265,842.44

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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.