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Finding the Fourth Proportional to 458,978.64, 687,975.75 and 221,995.32

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Solution

The fourth proportional to 458,978.64, 687,975.75 and 221,995.32 is: 332,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,978.64 : 687,975.75 = 221,995.32 : x
  2. Step 2: Convert to fraction form
    458,978.64/687,975.75 = 221,995.32/x
  3. Step 3: Cross multiply
    458,978.64x = 687,975.75 × 221,995.32
  4. Step 4: Simplify right side
    458,978.64x = 152,727,396,773.49
  5. Step 5: Solve for x
    x = 152,727,396,773.49/458,978.64
  6. Step 6: Final answer
    x = 332,754.91

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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.