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Finding the Fourth Proportional to 465,358.86, 642,255.36 and 261,409.86

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Solution

The fourth proportional to 465,358.86, 642,255.36 and 261,409.86 is: 360,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,358.86 : 642,255.36 = 261,409.86 : x
  2. Step 2: Convert to fraction form
    465,358.86/642,255.36 = 261,409.86/x
  3. Step 3: Cross multiply
    465,358.86x = 642,255.36 × 261,409.86
  4. Step 4: Simplify right side
    465,358.86x = 167,891,883,741.85
  5. Step 5: Solve for x
    x = 167,891,883,741.85/465,358.86
  6. Step 6: Final answer
    x = 360,779.39

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1.5x scale

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.