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Finding the Fourth Proportional to 458,978.27, 687,975.19 and 221,994.95

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Solution

The fourth proportional to 458,978.27, 687,975.19 and 221,994.95 is: 332,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,978.27 : 687,975.19 = 221,994.95 : x
  2. Step 2: Convert to fraction form
    458,978.27/687,975.19 = 221,994.95/x
  3. Step 3: Cross multiply
    458,978.27x = 687,975.19 × 221,994.95
  4. Step 4: Simplify right side
    458,978.27x = 152,727,016,795.32
  5. Step 5: Solve for x
    x = 152,727,016,795.32/458,978.27
  6. Step 6: Final answer
    x = 332,754.35

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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.