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Finding the Fourth Proportional to 761,628, 1,051,046.64 and 422,147.28

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Solution

The fourth proportional to 761,628, 1,051,046.64 and 422,147.28 is: 582,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,628 : 1,051,046.64 = 422,147.28 : x
  2. Step 2: Convert to fraction form
    761,628/1,051,046.64 = 422,147.28/x
  3. Step 3: Cross multiply
    761,628x = 1,051,046.64 × 422,147.28
  4. Step 4: Simplify right side
    761,628x = 443,696,480,229.14
  5. Step 5: Solve for x
    x = 443,696,480,229.14/761,628
  6. Step 6: Final answer
    x = 582,563.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.