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Finding the Fourth Proportional to 286,687.49, 430,047.64 and 87,014.39

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Solution

The fourth proportional to 286,687.49, 430,047.64 and 87,014.39 is: 130,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,687.49 : 430,047.64 = 87,014.39 : x
  2. Step 2: Convert to fraction form
    286,687.49/430,047.64 = 87,014.39/x
  3. Step 3: Cross multiply
    286,687.49x = 430,047.64 × 87,014.39
  4. Step 4: Simplify right side
    286,687.49x = 37,420,332,310.44
  5. Step 5: Solve for x
    x = 37,420,332,310.44/286,687.49
  6. Step 6: Final answer
    x = 130,526.56

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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.