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Finding the Fourth Proportional to 266,939,409.40, 400,409,114.10 and 209,608,516.60

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Solution

The fourth proportional to 266,939,409.40, 400,409,114.10 and 209,608,516.60 is: 314,412,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,939,409.40 : 400,409,114.10 = 209,608,516.60 : x
  2. Step 2: Convert to fraction form
    266,939,409.40/400,409,114.10 = 209,608,516.60/x
  3. Step 3: Cross multiply
    266,939,409.40x = 400,409,114.10 × 209,608,516.60
  4. Step 4: Simplify right side
    266,939,409.40x = 83,929,160,439,621,152
  5. Step 5: Solve for x
    x = 83,929,160,439,621,152/266,939,409.40
  6. Step 6: Final answer
    x = 314,412,774.90

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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.