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Finding the Fourth Proportional to 403,640.40, 605,460.60 and 384,286.80

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Solution

The fourth proportional to 403,640.40, 605,460.60 and 384,286.80 is: 576,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,640.40 : 605,460.60 = 384,286.80 : x
  2. Step 2: Convert to fraction form
    403,640.40/605,460.60 = 384,286.80/x
  3. Step 3: Cross multiply
    403,640.40x = 605,460.60 × 384,286.80
  4. Step 4: Simplify right side
    403,640.40x = 232,670,516,500.08
  5. Step 5: Solve for x
    x = 232,670,516,500.08/403,640.40
  6. Step 6: Final answer
    x = 576,430.20

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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.