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Finding the Fourth Proportional to 654,813,757.40, 903,664,372.94 and 357,471,854.44

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Solution

The fourth proportional to 654,813,757.40, 903,664,372.94 and 357,471,854.44 is: 493,322,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,813,757.40 : 903,664,372.94 = 357,471,854.44 : x
  2. Step 2: Convert to fraction form
    654,813,757.40/903,664,372.94 = 357,471,854.44/x
  3. Step 3: Cross multiply
    654,813,757.40x = 903,664,372.94 × 357,471,854.44
  4. Step 4: Simplify right side
    654,813,757.40x = 323,034,579,186,221,568
  5. Step 5: Solve for x
    x = 323,034,579,186,221,568/654,813,757.40
  6. Step 6: Final answer
    x = 493,322,834.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.