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Finding the Fourth Proportional to 400,308.64, 552,401.04 and 221,460.64

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Solution

The fourth proportional to 400,308.64, 552,401.04 and 221,460.64 is: 305,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,308.64 : 552,401.04 = 221,460.64 : x
  2. Step 2: Convert to fraction form
    400,308.64/552,401.04 = 221,460.64/x
  3. Step 3: Cross multiply
    400,308.64x = 552,401.04 × 221,460.64
  4. Step 4: Simplify right side
    400,308.64x = 122,335,087,855.07
  5. Step 5: Solve for x
    x = 122,335,087,855.07/400,308.64
  6. Step 6: Final answer
    x = 305,601.92

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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.