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Finding the Fourth Proportional to 219,613.60, 328,764.30 and 130,821.40

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Solution

The fourth proportional to 219,613.60, 328,764.30 and 130,821.40 is: 195,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,613.60 : 328,764.30 = 130,821.40 : x
  2. Step 2: Convert to fraction form
    219,613.60/328,764.30 = 130,821.40/x
  3. Step 3: Cross multiply
    219,613.60x = 328,764.30 × 130,821.40
  4. Step 4: Simplify right side
    219,613.60x = 43,009,405,996.02
  5. Step 5: Solve for x
    x = 43,009,405,996.02/219,613.60
  6. Step 6: Final answer
    x = 195,841.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.