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Finding the Fourth Proportional to 338,002, 507,501.42 and 188,534.32

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Solution

The fourth proportional to 338,002, 507,501.42 and 188,534.32 is: 283,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,002 : 507,501.42 = 188,534.32 : x
  2. Step 2: Convert to fraction form
    338,002/507,501.42 = 188,534.32/x
  3. Step 3: Cross multiply
    338,002x = 507,501.42 × 188,534.32
  4. Step 4: Simplify right side
    338,002x = 95,681,435,118.73
  5. Step 5: Solve for x
    x = 95,681,435,118.73/338,002
  6. Step 6: Final answer
    x = 283,079.49

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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.