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Finding the Fourth Proportional to 458,161.74, 632,284.50 and 286,181.54

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Solution

The fourth proportional to 458,161.74, 632,284.50 and 286,181.54 is: 394,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,161.74 : 632,284.50 = 286,181.54 : x
  2. Step 2: Convert to fraction form
    458,161.74/632,284.50 = 286,181.54/x
  3. Step 3: Cross multiply
    458,161.74x = 632,284.50 × 286,181.54
  4. Step 4: Simplify right side
    458,161.74x = 180,948,151,928.13
  5. Step 5: Solve for x
    x = 180,948,151,928.13/458,161.74
  6. Step 6: Final answer
    x = 394,943.83

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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.