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Finding the Fourth Proportional to 869,723.12, 1,305,030 and 396,347.60

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Solution

The fourth proportional to 869,723.12, 1,305,030 and 396,347.60 is: 594,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,723.12 : 1,305,030 = 396,347.60 : x
  2. Step 2: Convert to fraction form
    869,723.12/1,305,030 = 396,347.60/x
  3. Step 3: Cross multiply
    869,723.12x = 1,305,030 × 396,347.60
  4. Step 4: Simplify right side
    869,723.12x = 517,245,508,428
  5. Step 5: Solve for x
    x = 517,245,508,428/869,723.12
  6. Step 6: Final answer
    x = 594,724.34

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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.