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Finding the Fourth Proportional to 313,992.70, 471,017.85 and 103,631.10

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Solution

The fourth proportional to 313,992.70, 471,017.85 and 103,631.10 is: 155,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,992.70 : 471,017.85 = 103,631.10 : x
  2. Step 2: Convert to fraction form
    313,992.70/471,017.85 = 103,631.10/x
  3. Step 3: Cross multiply
    313,992.70x = 471,017.85 × 103,631.10
  4. Step 4: Simplify right side
    313,992.70x = 48,812,097,915.14
  5. Step 5: Solve for x
    x = 48,812,097,915.14/313,992.70
  6. Step 6: Final answer
    x = 155,456.16

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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.