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Finding the Fourth Proportional to 309,074.80, 463,237.80 and 131,208.40

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Solution

The fourth proportional to 309,074.80, 463,237.80 and 131,208.40 is: 196,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,074.80 : 463,237.80 = 131,208.40 : x
  2. Step 2: Convert to fraction form
    309,074.80/463,237.80 = 131,208.40/x
  3. Step 3: Cross multiply
    309,074.80x = 463,237.80 × 131,208.40
  4. Step 4: Simplify right side
    309,074.80x = 60,780,690,557.52
  5. Step 5: Solve for x
    x = 60,780,690,557.52/309,074.80
  6. Step 6: Final answer
    x = 196,653.66

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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.