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Finding the Fourth Proportional to 287,141.10, 427,765 and 274,187.24

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Solution

The fourth proportional to 287,141.10, 427,765 and 274,187.24 is: 408,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,141.10 : 427,765 = 274,187.24 : x
  2. Step 2: Convert to fraction form
    287,141.10/427,765 = 274,187.24/x
  3. Step 3: Cross multiply
    287,141.10x = 427,765 × 274,187.24
  4. Step 4: Simplify right side
    287,141.10x = 117,287,704,718.60
  5. Step 5: Solve for x
    x = 117,287,704,718.60/287,141.10
  6. Step 6: Final answer
    x = 408,467.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.