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Finding the Fourth Proportional to 746,442, 1,030,224.96 and 440,499.60

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Solution

The fourth proportional to 746,442, 1,030,224.96 and 440,499.60 is: 607,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,442 : 1,030,224.96 = 440,499.60 : x
  2. Step 2: Convert to fraction form
    746,442/1,030,224.96 = 440,499.60/x
  3. Step 3: Cross multiply
    746,442x = 1,030,224.96 × 440,499.60
  4. Step 4: Simplify right side
    746,442x = 453,813,682,790.02
  5. Step 5: Solve for x
    x = 453,813,682,790.02/746,442
  6. Step 6: Final answer
    x = 607,969.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.