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Finding the Fourth Proportional to 458,146.16, 687,435.96 and 221,355.92

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Solution

The fourth proportional to 458,146.16, 687,435.96 and 221,355.92 is: 332,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,146.16 : 687,435.96 = 221,355.92 : x
  2. Step 2: Convert to fraction form
    458,146.16/687,435.96 = 221,355.92/x
  3. Step 3: Cross multiply
    458,146.16x = 687,435.96 × 221,355.92
  4. Step 4: Simplify right side
    458,146.16x = 152,168,019,366.88
  5. Step 5: Solve for x
    x = 152,168,019,366.88/458,146.16
  6. Step 6: Final answer
    x = 332,138.59

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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.