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Finding the Fourth Proportional to 422,641.92, 583,260.30 and 231,655.26

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Solution

The fourth proportional to 422,641.92, 583,260.30 and 231,655.26 is: 319,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,641.92 : 583,260.30 = 231,655.26 : x
  2. Step 2: Convert to fraction form
    422,641.92/583,260.30 = 231,655.26/x
  3. Step 3: Cross multiply
    422,641.92x = 583,260.30 × 231,655.26
  4. Step 4: Simplify right side
    422,641.92x = 135,115,316,444.18
  5. Step 5: Solve for x
    x = 135,115,316,444.18/422,641.92
  6. Step 6: Final answer
    x = 319,692.18

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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.