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Finding the Fourth Proportional to 406,961.60, 610,442.40 and 266,801.60

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Solution

The fourth proportional to 406,961.60, 610,442.40 and 266,801.60 is: 400,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,961.60 : 610,442.40 = 266,801.60 : x
  2. Step 2: Convert to fraction form
    406,961.60/610,442.40 = 266,801.60/x
  3. Step 3: Cross multiply
    406,961.60x = 610,442.40 × 266,801.60
  4. Step 4: Simplify right side
    406,961.60x = 162,867,009,027.84
  5. Step 5: Solve for x
    x = 162,867,009,027.84/406,961.60
  6. Step 6: Final answer
    x = 400,202.40

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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.