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Finding the Fourth Proportional to 266,121,457.60, 399,480,784.80 and 205,804,580.80

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Solution

The fourth proportional to 266,121,457.60, 399,480,784.80 and 205,804,580.80 is: 308,937,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,121,457.60 : 399,480,784.80 = 205,804,580.80 : x
  2. Step 2: Convert to fraction form
    266,121,457.60/399,480,784.80 = 205,804,580.80/x
  3. Step 3: Cross multiply
    266,121,457.60x = 399,480,784.80 × 205,804,580.80
  4. Step 4: Simplify right side
    266,121,457.60x = 82,214,975,453,419,024
  5. Step 5: Solve for x
    x = 82,214,975,453,419,024/266,121,457.60
  6. Step 6: Final answer
    x = 308,937,791.77

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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.