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Finding the Fourth Proportional to 286,268.63, 429,402.96 and 89,276.63

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Solution

The fourth proportional to 286,268.63, 429,402.96 and 89,276.63 is: 133,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,268.63 : 429,402.96 = 89,276.63 : x
  2. Step 2: Convert to fraction form
    286,268.63/429,402.96 = 89,276.63/x
  3. Step 3: Cross multiply
    286,268.63x = 429,402.96 × 89,276.63
  4. Step 4: Simplify right side
    286,268.63x = 38,335,647,033.81
  5. Step 5: Solve for x
    x = 38,335,647,033.81/286,268.63
  6. Step 6: Final answer
    x = 133,914.94

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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.