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Finding the Fourth Proportional to 613,638.48, 846,096.52 and 420,140.02

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Solution

The fourth proportional to 613,638.48, 846,096.52 and 420,140.02 is: 579,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,638.48 : 846,096.52 = 420,140.02 : x
  2. Step 2: Convert to fraction form
    613,638.48/846,096.52 = 420,140.02/x
  3. Step 3: Cross multiply
    613,638.48x = 846,096.52 × 420,140.02
  4. Step 4: Simplify right side
    613,638.48x = 355,479,008,834.73
  5. Step 5: Solve for x
    x = 355,479,008,834.73/613,638.48
  6. Step 6: Final answer
    x = 579,297.13

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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.