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Finding the Fourth Proportional to 761,744, 1,051,206.88 and 422,212.25

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Solution

The fourth proportional to 761,744, 1,051,206.88 and 422,212.25 is: 582,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,744 : 1,051,206.88 = 422,212.25 : x
  2. Step 2: Convert to fraction form
    761,744/1,051,206.88 = 422,212.25/x
  3. Step 3: Cross multiply
    761,744x = 1,051,206.88 × 422,212.25
  4. Step 4: Simplify right side
    761,744x = 443,832,422,020.28
  5. Step 5: Solve for x
    x = 443,832,422,020.28/761,744
  6. Step 6: Final answer
    x = 582,652.99

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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.