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Finding the Fourth Proportional to 405,907.40, 608,861.10 and 384,134.60

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Solution

The fourth proportional to 405,907.40, 608,861.10 and 384,134.60 is: 576,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,907.40 : 608,861.10 = 384,134.60 : x
  2. Step 2: Convert to fraction form
    405,907.40/608,861.10 = 384,134.60/x
  3. Step 3: Cross multiply
    405,907.40x = 608,861.10 × 384,134.60
  4. Step 4: Simplify right side
    405,907.40x = 233,884,615,104.06
  5. Step 5: Solve for x
    x = 233,884,615,104.06/405,907.40
  6. Step 6: Final answer
    x = 576,201.90

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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.