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Finding the Fourth Proportional to 400,221.60, 552,305.62 and 218,933.48

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Solution

The fourth proportional to 400,221.60, 552,305.62 and 218,933.48 is: 302,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,221.60 : 552,305.62 = 218,933.48 : x
  2. Step 2: Convert to fraction form
    400,221.60/552,305.62 = 218,933.48/x
  3. Step 3: Cross multiply
    400,221.60x = 552,305.62 × 218,933.48
  4. Step 4: Simplify right side
    400,221.60x = 120,918,191,201.61
  5. Step 5: Solve for x
    x = 120,918,191,201.61/400,221.60
  6. Step 6: Final answer
    x = 302,128.10

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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.