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Finding the Fourth Proportional to 314,568,007.70, 471,852,011.55 and 205,728,890.90

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Solution

The fourth proportional to 314,568,007.70, 471,852,011.55 and 205,728,890.90 is: 308,593,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,568,007.70 : 471,852,011.55 = 205,728,890.90 : x
  2. Step 2: Convert to fraction form
    314,568,007.70/471,852,011.55 = 205,728,890.90/x
  3. Step 3: Cross multiply
    314,568,007.70x = 471,852,011.55 × 205,728,890.90
  4. Step 4: Simplify right side
    314,568,007.70x = 97,073,591,005,115,488
  5. Step 5: Solve for x
    x = 97,073,591,005,115,488/314,568,007.70
  6. Step 6: Final answer
    x = 308,593,336.35

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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.