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Finding the Fourth Proportional to 285,867, 428,800.50 and 119,655

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Solution

The fourth proportional to 285,867, 428,800.50 and 119,655 is: 179,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,867 : 428,800.50 = 119,655 : x
  2. Step 2: Convert to fraction form
    285,867/428,800.50 = 119,655/x
  3. Step 3: Cross multiply
    285,867x = 428,800.50 × 119,655
  4. Step 4: Simplify right side
    285,867x = 51,308,123,827.50
  5. Step 5: Solve for x
    x = 51,308,123,827.50/285,867
  6. Step 6: Final answer
    x = 179,482.50

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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.