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Finding the Fourth Proportional to 309,173.40, 463,935.48 and 131,661.92

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Solution

The fourth proportional to 309,173.40, 463,935.48 and 131,661.92 is: 197,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,173.40 : 463,935.48 = 131,661.92 : x
  2. Step 2: Convert to fraction form
    309,173.40/463,935.48 = 131,661.92/x
  3. Step 3: Cross multiply
    309,173.40x = 463,935.48 × 131,661.92
  4. Step 4: Simplify right side
    309,173.40x = 61,082,636,052.92
  5. Step 5: Solve for x
    x = 61,082,636,052.92/309,173.40
  6. Step 6: Final answer
    x = 197,567.57

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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.