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Finding the Fourth Proportional to 231,493.60, 319,459.44 and 130,895.20

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Solution

The fourth proportional to 231,493.60, 319,459.44 and 130,895.20 is: 180,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,493.60 : 319,459.44 = 130,895.20 : x
  2. Step 2: Convert to fraction form
    231,493.60/319,459.44 = 130,895.20/x
  3. Step 3: Cross multiply
    231,493.60x = 319,459.44 × 130,895.20
  4. Step 4: Simplify right side
    231,493.60x = 41,815,707,290.69
  5. Step 5: Solve for x
    x = 41,815,707,290.69/231,493.60
  6. Step 6: Final answer
    x = 180,634.40

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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.