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Finding the Fourth Proportional to 287,218.26, 430,827.40 and 76,850.72

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Solution

The fourth proportional to 287,218.26, 430,827.40 and 76,850.72 is: 115,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,218.26 : 430,827.40 = 76,850.72 : x
  2. Step 2: Convert to fraction form
    287,218.26/430,827.40 = 76,850.72/x
  3. Step 3: Cross multiply
    287,218.26x = 430,827.40 × 76,850.72
  4. Step 4: Simplify right side
    287,218.26x = 33,109,395,885.73
  5. Step 5: Solve for x
    x = 33,109,395,885.73/287,218.26
  6. Step 6: Final answer
    x = 115,276.08

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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.