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Finding the Fourth Proportional to 422,730.56, 583,427.76 and 261,637.28

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Solution

The fourth proportional to 422,730.56, 583,427.76 and 261,637.28 is: 361,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,730.56 : 583,427.76 = 261,637.28 : x
  2. Step 2: Convert to fraction form
    422,730.56/583,427.76 = 261,637.28/x
  3. Step 3: Cross multiply
    422,730.56x = 583,427.76 × 261,637.28
  4. Step 4: Simplify right side
    422,730.56x = 152,646,452,202.89
  5. Step 5: Solve for x
    x = 152,646,452,202.89/422,730.56
  6. Step 6: Final answer
    x = 361,096.33

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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.