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Finding the Fourth Proportional to 458,311.50, 632,474.19 and 257,111.82

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Solution

The fourth proportional to 458,311.50, 632,474.19 and 257,111.82 is: 354,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,311.50 : 632,474.19 = 257,111.82 : x
  2. Step 2: Convert to fraction form
    458,311.50/632,474.19 = 257,111.82/x
  3. Step 3: Cross multiply
    458,311.50x = 632,474.19 × 257,111.82
  4. Step 4: Simplify right side
    458,311.50x = 162,616,590,093.93
  5. Step 5: Solve for x
    x = 162,616,590,093.93/458,311.50
  6. Step 6: Final answer
    x = 354,816.74

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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.