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Finding the Fourth Proportional to 400,123.53, 552,150 and 218,800.22

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Solution

The fourth proportional to 400,123.53, 552,150 and 218,800.22 is: 301,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,123.53 : 552,150 = 218,800.22 : x
  2. Step 2: Convert to fraction form
    400,123.53/552,150 = 218,800.22/x
  3. Step 3: Cross multiply
    400,123.53x = 552,150 × 218,800.22
  4. Step 4: Simplify right side
    400,123.53x = 120,810,538,712.25
  5. Step 5: Solve for x
    x = 120,810,538,712.25/400,123.53
  6. Step 6: Final answer
    x = 301,933.10

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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.