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Finding the Fourth Proportional to 338,183.85, 507,617.61 and 299,965.98

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Solution

The fourth proportional to 338,183.85, 507,617.61 and 299,965.98 is: 450,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,183.85 : 507,617.61 = 299,965.98 : x
  2. Step 2: Convert to fraction form
    338,183.85/507,617.61 = 299,965.98/x
  3. Step 3: Cross multiply
    338,183.85x = 507,617.61 × 299,965.98
  4. Step 4: Simplify right side
    338,183.85x = 152,268,011,310.82
  5. Step 5: Solve for x
    x = 152,268,011,310.82/338,183.85
  6. Step 6: Final answer
    x = 450,252.17

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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.