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Finding the Fourth Proportional to 422,338.80, 633,064.32 and 155,929.44

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Solution

The fourth proportional to 422,338.80, 633,064.32 and 155,929.44 is: 233,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,338.80 : 633,064.32 = 155,929.44 : x
  2. Step 2: Convert to fraction form
    422,338.80/633,064.32 = 155,929.44/x
  3. Step 3: Cross multiply
    422,338.80x = 633,064.32 × 155,929.44
  4. Step 4: Simplify right side
    422,338.80x = 98,713,364,901.58
  5. Step 5: Solve for x
    x = 98,713,364,901.58/422,338.80
  6. Step 6: Final answer
    x = 233,730.28

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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.