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Finding the Fourth Proportional to 458,231.64, 687,355.26 and 158,721.09

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Solution

The fourth proportional to 458,231.64, 687,355.26 and 158,721.09 is: 238,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,231.64 : 687,355.26 = 158,721.09 : x
  2. Step 2: Convert to fraction form
    458,231.64/687,355.26 = 158,721.09/x
  3. Step 3: Cross multiply
    458,231.64x = 687,355.26 × 158,721.09
  4. Step 4: Simplify right side
    458,231.64x = 109,097,776,084.43
  5. Step 5: Solve for x
    x = 109,097,776,084.43/458,231.64
  6. Step 6: Final answer
    x = 238,084.34

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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.