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Finding the Fourth Proportional to 231,492.60, 319,458.06 and 130,894.20

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Solution

The fourth proportional to 231,492.60, 319,458.06 and 130,894.20 is: 180,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,492.60 : 319,458.06 = 130,894.20 : x
  2. Step 2: Convert to fraction form
    231,492.60/319,458.06 = 130,894.20/x
  3. Step 3: Cross multiply
    231,492.60x = 319,458.06 × 130,894.20
  4. Step 4: Simplify right side
    231,492.60x = 41,815,207,197.25
  5. Step 5: Solve for x
    x = 41,815,207,197.25/231,492.60
  6. Step 6: Final answer
    x = 180,633.02

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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.