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Finding the Fourth Proportional to 946,225, 1,305,448.14 and 728,499.88

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Solution

The fourth proportional to 946,225, 1,305,448.14 and 728,499.88 is: 1,005,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,225 : 1,305,448.14 = 728,499.88 : x
  2. Step 2: Convert to fraction form
    946,225/1,305,448.14 = 728,499.88/x
  3. Step 3: Cross multiply
    946,225x = 1,305,448.14 × 728,499.88
  4. Step 4: Simplify right side
    946,225x = 951,018,813,336.22
  5. Step 5: Solve for x
    x = 951,018,813,336.22/946,225
  6. Step 6: Final answer
    x = 1,005,066.25

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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.