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Finding the Fourth Proportional to 605,209.20, 908,688.60 and 456,493.20

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Solution

The fourth proportional to 605,209.20, 908,688.60 and 456,493.20 is: 685,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,209.20 : 908,688.60 = 456,493.20 : x
  2. Step 2: Convert to fraction form
    605,209.20/908,688.60 = 456,493.20/x
  3. Step 3: Cross multiply
    605,209.20x = 908,688.60 × 456,493.20
  4. Step 4: Simplify right side
    605,209.20x = 414,810,166,817.52
  5. Step 5: Solve for x
    x = 414,810,166,817.52/605,209.20
  6. Step 6: Final answer
    x = 685,399.64

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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.