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Finding the Fourth Proportional to 286,268.60, 429,402.90 and 202,287.80

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Solution

The fourth proportional to 286,268.60, 429,402.90 and 202,287.80 is: 303,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,268.60 : 429,402.90 = 202,287.80 : x
  2. Step 2: Convert to fraction form
    286,268.60/429,402.90 = 202,287.80/x
  3. Step 3: Cross multiply
    286,268.60x = 429,402.90 × 202,287.80
  4. Step 4: Simplify right side
    286,268.60x = 86,862,967,954.62
  5. Step 5: Solve for x
    x = 86,862,967,954.62/286,268.60
  6. Step 6: Final answer
    x = 303,431.70

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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.