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Finding the Fourth Proportional to 540,672,006.80, 811,008,010.20 and 137,232,390.80

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Solution

The fourth proportional to 540,672,006.80, 811,008,010.20 and 137,232,390.80 is: 205,848,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,672,006.80 : 811,008,010.20 = 137,232,390.80 : x
  2. Step 2: Convert to fraction form
    540,672,006.80/811,008,010.20 = 137,232,390.80/x
  3. Step 3: Cross multiply
    540,672,006.80x = 811,008,010.20 × 137,232,390.80
  4. Step 4: Simplify right side
    540,672,006.80x = 111,296,568,197,696,800
  5. Step 5: Solve for x
    x = 111,296,568,197,696,800/540,672,006.80
  6. Step 6: Final answer
    x = 205,848,586.20

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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.