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Finding the Fourth Proportional to 422,924.12, 583,642.80 and 231,935.84

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Solution

The fourth proportional to 422,924.12, 583,642.80 and 231,935.84 is: 320,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,924.12 : 583,642.80 = 231,935.84 : x
  2. Step 2: Convert to fraction form
    422,924.12/583,642.80 = 231,935.84/x
  3. Step 3: Cross multiply
    422,924.12x = 583,642.80 × 231,935.84
  4. Step 4: Simplify right side
    422,924.12x = 135,367,683,077.95
  5. Step 5: Solve for x
    x = 135,367,683,077.95/422,924.12
  6. Step 6: Final answer
    x = 320,075.58

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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.