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Finding the Fourth Proportional to 470,476.32, 705,728.31 and 115,490.33

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Solution

The fourth proportional to 470,476.32, 705,728.31 and 115,490.33 is: 173,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,476.32 : 705,728.31 = 115,490.33 : x
  2. Step 2: Convert to fraction form
    470,476.32/705,728.31 = 115,490.33/x
  3. Step 3: Cross multiply
    470,476.32x = 705,728.31 × 115,490.33
  4. Step 4: Simplify right side
    470,476.32x = 81,504,791,883.60
  5. Step 5: Solve for x
    x = 81,504,791,883.60/470,476.32
  6. Step 6: Final answer
    x = 173,238.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.