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Finding the Fourth Proportional to 266,119,006.40, 399,178,509.60 and 120,622,270.40

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Solution

The fourth proportional to 266,119,006.40, 399,178,509.60 and 120,622,270.40 is: 180,933,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,119,006.40 : 399,178,509.60 = 120,622,270.40 : x
  2. Step 2: Convert to fraction form
    266,119,006.40/399,178,509.60 = 120,622,270.40/x
  3. Step 3: Cross multiply
    266,119,006.40x = 399,178,509.60 × 120,622,270.40
  4. Step 4: Simplify right side
    266,119,006.40x = 48,149,818,122,840,200
  5. Step 5: Solve for x
    x = 48,149,818,122,840,200/266,119,006.40
  6. Step 6: Final answer
    x = 180,933,405.60

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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.