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Finding the Fourth Proportional to 422,775.40, 583,429.08 and 231,806.56

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Solution

The fourth proportional to 422,775.40, 583,429.08 and 231,806.56 is: 319,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,775.40 : 583,429.08 = 231,806.56 : x
  2. Step 2: Convert to fraction form
    422,775.40/583,429.08 = 231,806.56/x
  3. Step 3: Cross multiply
    422,775.40x = 583,429.08 × 231,806.56
  4. Step 4: Simplify right side
    422,775.40x = 135,242,688,038.77
  5. Step 5: Solve for x
    x = 135,242,688,038.77/422,775.40
  6. Step 6: Final answer
    x = 319,892.52

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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.