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Finding the Fourth Proportional to 284,114.72, 425,765.92 and 208,642.88

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Solution

The fourth proportional to 284,114.72, 425,765.92 and 208,642.88 is: 312,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.72 : 425,765.92 = 208,642.88 : x
  2. Step 2: Convert to fraction form
    284,114.72/425,765.92 = 208,642.88/x
  3. Step 3: Cross multiply
    284,114.72x = 425,765.92 × 208,642.88
  4. Step 4: Simplify right side
    284,114.72x = 88,833,027,754.65
  5. Step 5: Solve for x
    x = 88,833,027,754.65/284,114.72
  6. Step 6: Final answer
    x = 312,666.05

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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.