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Finding the Fourth Proportional to 411,030.60, 616,610.70 and 130,576.20

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Solution

The fourth proportional to 411,030.60, 616,610.70 and 130,576.20 is: 195,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,030.60 : 616,610.70 = 130,576.20 : x
  2. Step 2: Convert to fraction form
    411,030.60/616,610.70 = 130,576.20/x
  3. Step 3: Cross multiply
    411,030.60x = 616,610.70 × 130,576.20
  4. Step 4: Simplify right side
    411,030.60x = 80,514,682,085.34
  5. Step 5: Solve for x
    x = 80,514,682,085.34/411,030.60
  6. Step 6: Final answer
    x = 195,884.89

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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.