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Finding the Fourth Proportional to 338,384.16, 507,640.32 and 135,995.97

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Solution

The fourth proportional to 338,384.16, 507,640.32 and 135,995.97 is: 204,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,384.16 : 507,640.32 = 135,995.97 : x
  2. Step 2: Convert to fraction form
    338,384.16/507,640.32 = 135,995.97/x
  3. Step 3: Cross multiply
    338,384.16x = 507,640.32 × 135,995.97
  4. Step 4: Simplify right side
    338,384.16x = 69,037,037,729.51
  5. Step 5: Solve for x
    x = 69,037,037,729.51/338,384.16
  6. Step 6: Final answer
    x = 204,019.71

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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.