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Finding the Fourth Proportional to 422,689.63, 583,311.71 and 231,698.92

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Solution

The fourth proportional to 422,689.63, 583,311.71 and 231,698.92 is: 319,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,689.63 : 583,311.71 = 231,698.92 : x
  2. Step 2: Convert to fraction form
    422,689.63/583,311.71 = 231,698.92/x
  3. Step 3: Cross multiply
    422,689.63x = 583,311.71 × 231,698.92
  4. Step 4: Simplify right side
    422,689.63x = 135,152,693,230.35
  5. Step 5: Solve for x
    x = 135,152,693,230.35/422,689.63
  6. Step 6: Final answer
    x = 319,744.52

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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.