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Finding the Fourth Proportional to 400,333.44, 552,199.68 and 256,866.24

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Solution

The fourth proportional to 400,333.44, 552,199.68 and 256,866.24 is: 354,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,333.44 : 552,199.68 = 256,866.24 : x
  2. Step 2: Convert to fraction form
    400,333.44/552,199.68 = 256,866.24/x
  3. Step 3: Cross multiply
    400,333.44x = 552,199.68 × 256,866.24
  4. Step 4: Simplify right side
    400,333.44x = 141,841,455,530.80
  5. Step 5: Solve for x
    x = 141,841,455,530.80/400,333.44
  6. Step 6: Final answer
    x = 354,308.29

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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.