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Finding the Fourth Proportional to 309,952.16, 465,107.60 and 130,021.46

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Solution

The fourth proportional to 309,952.16, 465,107.60 and 130,021.46 is: 195,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,952.16 : 465,107.60 = 130,021.46 : x
  2. Step 2: Convert to fraction form
    309,952.16/465,107.60 = 130,021.46/x
  3. Step 3: Cross multiply
    309,952.16x = 465,107.60 × 130,021.46
  4. Step 4: Simplify right side
    309,952.16x = 60,473,969,209.10
  5. Step 5: Solve for x
    x = 60,473,969,209.10/309,952.16
  6. Step 6: Final answer
    x = 195,107.43

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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.