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Finding the Fourth Proportional to 403,823.20, 605,078.70 and 347,398.60

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Solution

The fourth proportional to 403,823.20, 605,078.70 and 347,398.60 is: 520,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,823.20 : 605,078.70 = 347,398.60 : x
  2. Step 2: Convert to fraction form
    403,823.20/605,078.70 = 347,398.60/x
  3. Step 3: Cross multiply
    403,823.20x = 605,078.70 × 347,398.60
  4. Step 4: Simplify right side
    403,823.20x = 210,203,493,269.82
  5. Step 5: Solve for x
    x = 210,203,493,269.82/403,823.20
  6. Step 6: Final answer
    x = 520,533.47

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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.