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Finding the Fourth Proportional to 287,269, 430,903.50 and 76,901.74

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Solution

The fourth proportional to 287,269, 430,903.50 and 76,901.74 is: 115,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,269 : 430,903.50 = 76,901.74 : x
  2. Step 2: Convert to fraction form
    287,269/430,903.50 = 76,901.74/x
  3. Step 3: Cross multiply
    287,269x = 430,903.50 × 76,901.74
  4. Step 4: Simplify right side
    287,269x = 33,137,228,922.09
  5. Step 5: Solve for x
    x = 33,137,228,922.09/287,269
  6. Step 6: Final answer
    x = 115,352.61

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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.