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Finding the Fourth Proportional to 405,999.30, 608,480.55 and 312,039.30

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Solution

The fourth proportional to 405,999.30, 608,480.55 and 312,039.30 is: 467,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,999.30 : 608,480.55 = 312,039.30 : x
  2. Step 2: Convert to fraction form
    405,999.30/608,480.55 = 312,039.30/x
  3. Step 3: Cross multiply
    405,999.30x = 608,480.55 × 312,039.30
  4. Step 4: Simplify right side
    405,999.30x = 189,869,844,885.62
  5. Step 5: Solve for x
    x = 189,869,844,885.62/405,999.30
  6. Step 6: Final answer
    x = 467,660.52

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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.