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Finding the Fourth Proportional to 400,145.92, 552,193.61 and 218,857.32

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Solution

The fourth proportional to 400,145.92, 552,193.61 and 218,857.32 is: 302,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,145.92 : 552,193.61 = 218,857.32 : x
  2. Step 2: Convert to fraction form
    400,145.92/552,193.61 = 218,857.32/x
  3. Step 3: Cross multiply
    400,145.92x = 552,193.61 × 218,857.32
  4. Step 4: Simplify right side
    400,145.92x = 120,851,612,511.44
  5. Step 5: Solve for x
    x = 120,851,612,511.44/400,145.92
  6. Step 6: Final answer
    x = 302,018.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.