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Finding the Fourth Proportional to 410,961.60, 616,442.40 and 345,643.20

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Solution

The fourth proportional to 410,961.60, 616,442.40 and 345,643.20 is: 518,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,961.60 : 616,442.40 = 345,643.20 : x
  2. Step 2: Convert to fraction form
    410,961.60/616,442.40 = 345,643.20/x
  3. Step 3: Cross multiply
    410,961.60x = 616,442.40 × 345,643.20
  4. Step 4: Simplify right side
    410,961.60x = 213,069,123,751.68
  5. Step 5: Solve for x
    x = 213,069,123,751.68/410,961.60
  6. Step 6: Final answer
    x = 518,464.80

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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.