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Finding the Fourth Proportional to 865,933,813.37, 1,298,900,694.95 and 399,457,221.90

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Solution

The fourth proportional to 865,933,813.37, 1,298,900,694.95 and 399,457,221.90 is: 599,185,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,933,813.37 : 1,298,900,694.95 = 399,457,221.90 : x
  2. Step 2: Convert to fraction form
    865,933,813.37/1,298,900,694.95 = 399,457,221.90/x
  3. Step 3: Cross multiply
    865,933,813.37x = 1,298,900,694.95 × 399,457,221.90
  4. Step 4: Simplify right side
    865,933,813.37x = 518,855,263,126,708,992
  5. Step 5: Solve for x
    x = 518,855,263,126,708,992/865,933,813.37
  6. Step 6: Final answer
    x = 599,185,821.27

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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.