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Finding the Fourth Proportional to 307,583,999.10, 461,375,998.65 and 287,279,307.90

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Solution

The fourth proportional to 307,583,999.10, 461,375,998.65 and 287,279,307.90 is: 430,918,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,583,999.10 : 461,375,998.65 = 287,279,307.90 : x
  2. Step 2: Convert to fraction form
    307,583,999.10/461,375,998.65 = 287,279,307.90/x
  3. Step 3: Cross multiply
    307,583,999.10x = 461,375,998.65 × 287,279,307.90
  4. Step 4: Simplify right side
    307,583,999.10x = 132,543,777,573,843,312
  5. Step 5: Solve for x
    x = 132,543,777,573,843,312/307,583,999.10
  6. Step 6: Final answer
    x = 430,918,961.85

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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.