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Finding the Fourth Proportional to 311,930,999.70, 468,904,269.15 and 287,744,529.30

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Solution

The fourth proportional to 311,930,999.70, 468,904,269.15 and 287,744,529.30 is: 432,546,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930,999.70 : 468,904,269.15 = 287,744,529.30 : x
  2. Step 2: Convert to fraction form
    311,930,999.70/468,904,269.15 = 287,744,529.30/x
  3. Step 3: Cross multiply
    311,930,999.70x = 468,904,269.15 × 287,744,529.30
  4. Step 4: Simplify right side
    311,930,999.70x = 134,924,638,213,327,264
  5. Step 5: Solve for x
    x = 134,924,638,213,327,264/311,930,999.70
  6. Step 6: Final answer
    x = 432,546,423.23

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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.