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Finding the Fourth Proportional to 456,291.96, 629,760.60 and 265,416

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Solution

The fourth proportional to 456,291.96, 629,760.60 and 265,416 is: 366,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,291.96 : 629,760.60 = 265,416 : x
  2. Step 2: Convert to fraction form
    456,291.96/629,760.60 = 265,416/x
  3. Step 3: Cross multiply
    456,291.96x = 629,760.60 × 265,416
  4. Step 4: Simplify right side
    456,291.96x = 167,148,539,409.60
  5. Step 5: Solve for x
    x = 167,148,539,409.60/456,291.96
  6. Step 6: Final answer
    x = 366,319.27

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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.