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Finding the Fourth Proportional to 613,638.98, 846,097.20 and 420,140.52

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Solution

The fourth proportional to 613,638.98, 846,097.20 and 420,140.52 is: 579,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,638.98 : 846,097.20 = 420,140.52 : x
  2. Step 2: Convert to fraction form
    613,638.98/846,097.20 = 420,140.52/x
  3. Step 3: Cross multiply
    613,638.98x = 846,097.20 × 420,140.52
  4. Step 4: Simplify right side
    613,638.98x = 355,479,717,578.54
  5. Step 5: Solve for x
    x = 355,479,717,578.54/613,638.98
  6. Step 6: Final answer
    x = 579,297.81

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1.5x scale

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.