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Finding the Fourth Proportional to 309,300,003.80, 463,950,005.70 and 207,378,416.60

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Solution

The fourth proportional to 309,300,003.80, 463,950,005.70 and 207,378,416.60 is: 311,067,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,300,003.80 : 463,950,005.70 = 207,378,416.60 : x
  2. Step 2: Convert to fraction form
    309,300,003.80/463,950,005.70 = 207,378,416.60/x
  3. Step 3: Cross multiply
    309,300,003.80x = 463,950,005.70 × 207,378,416.60
  4. Step 4: Simplify right side
    309,300,003.80x = 96,213,217,563,626,976
  5. Step 5: Solve for x
    x = 96,213,217,563,626,976/309,300,003.80
  6. Step 6: Final answer
    x = 311,067,624.90

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1.5x scale

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.