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Finding the Fourth Proportional to 865,933,797.55, 1,298,900,671.22 and 399,457,206.09

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Solution

The fourth proportional to 865,933,797.55, 1,298,900,671.22 and 399,457,206.09 is: 599,185,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,933,797.55 : 1,298,900,671.22 = 399,457,206.09 : x
  2. Step 2: Convert to fraction form
    865,933,797.55/1,298,900,671.22 = 399,457,206.09/x
  3. Step 3: Cross multiply
    865,933,797.55x = 1,298,900,671.22 × 399,457,206.09
  4. Step 4: Simplify right side
    865,933,797.55x = 518,855,233,113,966,848
  5. Step 5: Solve for x
    x = 518,855,233,113,966,848/865,933,797.55
  6. Step 6: Final answer
    x = 599,185,797.55

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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.