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Finding the Fourth Proportional to 458,581.57, 632,842.56 and 257,377.57

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Solution

The fourth proportional to 458,581.57, 632,842.56 and 257,377.57 is: 355,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,581.57 : 632,842.56 = 257,377.57 : x
  2. Step 2: Convert to fraction form
    458,581.57/632,842.56 = 257,377.57/x
  3. Step 3: Cross multiply
    458,581.57x = 632,842.56 × 257,377.57
  4. Step 4: Simplify right side
    458,581.57x = 162,879,477,121.17
  5. Step 5: Solve for x
    x = 162,879,477,121.17/458,581.57
  6. Step 6: Final answer
    x = 355,181.04

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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.