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Finding the Fourth Proportional to 314,000.70, 471,074.55 and 103,638.43

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Solution

The fourth proportional to 314,000.70, 471,074.55 and 103,638.43 is: 155,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.70 : 471,074.55 = 103,638.43 : x
  2. Step 2: Convert to fraction form
    314,000.70/471,074.55 = 103,638.43/x
  3. Step 3: Cross multiply
    314,000.70x = 471,074.55 × 103,638.43
  4. Step 4: Simplify right side
    314,000.70x = 48,821,426,774.96
  5. Step 5: Solve for x
    x = 48,821,426,774.96/314,000.70
  6. Step 6: Final answer
    x = 155,481.90

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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.