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Finding the Fourth Proportional to 422,482.94, 633,715.43 and 102,636.32

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Solution

The fourth proportional to 422,482.94, 633,715.43 and 102,636.32 is: 153,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,482.94 : 633,715.43 = 102,636.32 : x
  2. Step 2: Convert to fraction form
    422,482.94/633,715.43 = 102,636.32/x
  3. Step 3: Cross multiply
    422,482.94x = 633,715.43 × 102,636.32
  4. Step 4: Simplify right side
    422,482.94x = 65,042,215,980.66
  5. Step 5: Solve for x
    x = 65,042,215,980.66/422,482.94
  6. Step 6: Final answer
    x = 153,952.29

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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.