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Finding the Fourth Proportional to 266,121,409.60, 399,480,712.80 and 205,804,532.80

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Solution

The fourth proportional to 266,121,409.60, 399,480,712.80 and 205,804,532.80 is: 308,937,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,121,409.60 : 399,480,712.80 = 205,804,532.80 : x
  2. Step 2: Convert to fraction form
    266,121,409.60/399,480,712.80 = 205,804,532.80/x
  3. Step 3: Cross multiply
    266,121,409.60x = 399,480,712.80 × 205,804,532.80
  4. Step 4: Simplify right side
    266,121,409.60x = 82,214,941,460,414,992
  5. Step 5: Solve for x
    x = 82,214,941,460,414,992/266,121,409.60
  6. Step 6: Final answer
    x = 308,937,719.76

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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.