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Finding the Fourth Proportional to 422,316, 582,788.88 and 231,328.80

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Solution

The fourth proportional to 422,316, 582,788.88 and 231,328.80 is: 319,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,316 : 582,788.88 = 231,328.80 : x
  2. Step 2: Convert to fraction form
    422,316/582,788.88 = 231,328.80/x
  3. Step 3: Cross multiply
    422,316x = 582,788.88 × 231,328.80
  4. Step 4: Simplify right side
    422,316x = 134,815,852,263.74
  5. Step 5: Solve for x
    x = 134,815,852,263.74/422,316
  6. Step 6: Final answer
    x = 319,229.80

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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.