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Finding the Fourth Proportional to 403,268.40, 604,902.60 and 107,780.40

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Solution

The fourth proportional to 403,268.40, 604,902.60 and 107,780.40 is: 161,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,268.40 : 604,902.60 = 107,780.40 : x
  2. Step 2: Convert to fraction form
    403,268.40/604,902.60 = 107,780.40/x
  3. Step 3: Cross multiply
    403,268.40x = 604,902.60 × 107,780.40
  4. Step 4: Simplify right side
    403,268.40x = 65,196,644,189.04
  5. Step 5: Solve for x
    x = 65,196,644,189.04/403,268.40
  6. Step 6: Final answer
    x = 161,670.60

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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.