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Finding the Fourth Proportional to 284,097.72, 425,740.50 and 208,625.88

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Solution

The fourth proportional to 284,097.72, 425,740.50 and 208,625.88 is: 312,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,097.72 : 425,740.50 = 208,625.88 : x
  2. Step 2: Convert to fraction form
    284,097.72/425,740.50 = 208,625.88/x
  3. Step 3: Cross multiply
    284,097.72x = 425,740.50 × 208,625.88
  4. Step 4: Simplify right side
    284,097.72x = 88,820,486,464.14
  5. Step 5: Solve for x
    x = 88,820,486,464.14/284,097.72
  6. Step 6: Final answer
    x = 312,640.62

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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.