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Finding the Fourth Proportional to 405,323.74, 608,108.64 and 215,751.86

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Solution

The fourth proportional to 405,323.74, 608,108.64 and 215,751.86 is: 323,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,323.74 : 608,108.64 = 215,751.86 : x
  2. Step 2: Convert to fraction form
    405,323.74/608,108.64 = 215,751.86/x
  3. Step 3: Cross multiply
    405,323.74x = 608,108.64 × 215,751.86
  4. Step 4: Simplify right side
    405,323.74x = 131,200,570,162.07
  5. Step 5: Solve for x
    x = 131,200,570,162.07/405,323.74
  6. Step 6: Final answer
    x = 323,693.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.