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Finding the Fourth Proportional to 458,141.40, 632,563.02 and 305,539.83

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Solution

The fourth proportional to 458,141.40, 632,563.02 and 305,539.83 is: 421,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,141.40 : 632,563.02 = 305,539.83 : x
  2. Step 2: Convert to fraction form
    458,141.40/632,563.02 = 305,539.83/x
  3. Step 3: Cross multiply
    458,141.40x = 632,563.02 × 305,539.83
  4. Step 4: Simplify right side
    458,141.40x = 193,273,197,595.09
  5. Step 5: Solve for x
    x = 193,273,197,595.09/458,141.40
  6. Step 6: Final answer
    x = 421,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.