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Finding the Fourth Proportional to 531,780,011.10, 733,978,859.67 and 311,834,295.90

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Solution

The fourth proportional to 531,780,011.10, 733,978,859.67 and 311,834,295.90 is: 430,403,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,780,011.10 : 733,978,859.67 = 311,834,295.90 : x
  2. Step 2: Convert to fraction form
    531,780,011.10/733,978,859.67 = 311,834,295.90/x
  3. Step 3: Cross multiply
    531,780,011.10x = 733,978,859.67 × 311,834,295.90
  4. Step 4: Simplify right side
    531,780,011.10x = 228,879,780,910,679,328
  5. Step 5: Solve for x
    x = 228,879,780,910,679,328/531,780,011.10
  6. Step 6: Final answer
    x = 430,403,129.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.