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Finding the Fourth Proportional to 605,665.20, 909,372.60 and 456,949.20

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Solution

The fourth proportional to 605,665.20, 909,372.60 and 456,949.20 is: 686,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,665.20 : 909,372.60 = 456,949.20 : x
  2. Step 2: Convert to fraction form
    605,665.20/909,372.60 = 456,949.20/x
  3. Step 3: Cross multiply
    605,665.20x = 909,372.60 × 456,949.20
  4. Step 4: Simplify right side
    605,665.20x = 415,537,082,071.92
  5. Step 5: Solve for x
    x = 415,537,082,071.92/605,665.20
  6. Step 6: Final answer
    x = 686,083.80

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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.