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Finding the Fourth Proportional to 458,047.20, 686,876.40 and 221,462.40

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Solution

The fourth proportional to 458,047.20, 686,876.40 and 221,462.40 is: 332,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,047.20 : 686,876.40 = 221,462.40 : x
  2. Step 2: Convert to fraction form
    458,047.20/686,876.40 = 221,462.40/x
  3. Step 3: Cross multiply
    458,047.20x = 686,876.40 × 221,462.40
  4. Step 4: Simplify right side
    458,047.20x = 152,117,296,047.36
  5. Step 5: Solve for x
    x = 152,117,296,047.36/458,047.20
  6. Step 6: Final answer
    x = 332,099.61

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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.