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Finding the Fourth Proportional to 285,965,999.65, 428,948,999.48 and 285,965,999.65

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Solution

The fourth proportional to 285,965,999.65, 428,948,999.48 and 285,965,999.65 is: 428,948,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,965,999.65 : 428,948,999.48 = 285,965,999.65 : x
  2. Step 2: Convert to fraction form
    285,965,999.65/428,948,999.48 = 285,965,999.65/x
  3. Step 3: Cross multiply
    285,965,999.65x = 428,948,999.48 × 285,965,999.65
  4. Step 4: Simplify right side
    285,965,999.65x = 122,664,829,435,165,520
  5. Step 5: Solve for x
    x = 122,664,829,435,165,520/285,965,999.65
  6. Step 6: Final answer
    x = 428,948,999.48

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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.