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Finding the Fourth Proportional to 422,475, 583,015.52 and 231,495.64

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Solution

The fourth proportional to 422,475, 583,015.52 and 231,495.64 is: 319,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,475 : 583,015.52 = 231,495.64 : x
  2. Step 2: Convert to fraction form
    422,475/583,015.52 = 231,495.64/x
  3. Step 3: Cross multiply
    422,475x = 583,015.52 × 231,495.64
  4. Step 4: Simplify right side
    422,475x = 134,965,550,932.33
  5. Step 5: Solve for x
    x = 134,965,550,932.33/422,475
  6. Step 6: Final answer
    x = 319,463.99

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1.5x scale

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.