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Finding the Fourth Proportional to 287,187.20, 430,867.20 and 154,131.20

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Solution

The fourth proportional to 287,187.20, 430,867.20 and 154,131.20 is: 231,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,187.20 : 430,867.20 = 154,131.20 : x
  2. Step 2: Convert to fraction form
    287,187.20/430,867.20 = 154,131.20/x
  3. Step 3: Cross multiply
    287,187.20x = 430,867.20 × 154,131.20
  4. Step 4: Simplify right side
    287,187.20x = 66,410,078,576.64
  5. Step 5: Solve for x
    x = 66,410,078,576.64/287,187.20
  6. Step 6: Final answer
    x = 231,243.17

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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.