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Finding the Fourth Proportional to 422,478, 583,019.66 and 231,498.64

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Solution

The fourth proportional to 422,478, 583,019.66 and 231,498.64 is: 319,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,478 : 583,019.66 = 231,498.64 : x
  2. Step 2: Convert to fraction form
    422,478/583,019.66 = 231,498.64/x
  3. Step 3: Cross multiply
    422,478x = 583,019.66 × 231,498.64
  4. Step 4: Simplify right side
    422,478x = 134,968,258,383.26
  5. Step 5: Solve for x
    x = 134,968,258,383.26/422,478
  6. Step 6: Final answer
    x = 319,468.13

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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.