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Finding the Fourth Proportional to 613,853.76, 920,538.72 and 298,217.28

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Solution

The fourth proportional to 613,853.76, 920,538.72 and 298,217.28 is: 447,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,853.76 : 920,538.72 = 298,217.28 : x
  2. Step 2: Convert to fraction form
    613,853.76/920,538.72 = 298,217.28/x
  3. Step 3: Cross multiply
    613,853.76x = 920,538.72 × 298,217.28
  4. Step 4: Simplify right side
    613,853.76x = 274,520,553,213.08
  5. Step 5: Solve for x
    x = 274,520,553,213.08/613,853.76
  6. Step 6: Final answer
    x = 447,208.39

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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.