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Finding the Fourth Proportional to 338,386.16, 507,643.32 and 135,997.97

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Solution

The fourth proportional to 338,386.16, 507,643.32 and 135,997.97 is: 204,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,386.16 : 507,643.32 = 135,997.97 : x
  2. Step 2: Convert to fraction form
    338,386.16/507,643.32 = 135,997.97/x
  3. Step 3: Cross multiply
    338,386.16x = 507,643.32 × 135,997.97
  4. Step 4: Simplify right side
    338,386.16x = 69,038,461,004.06
  5. Step 5: Solve for x
    x = 69,038,461,004.06/338,386.16
  6. Step 6: Final answer
    x = 204,022.71

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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.