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Finding the Fourth Proportional to 286,773.30, 430,170.90 and 106,903.49

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Solution

The fourth proportional to 286,773.30, 430,170.90 and 106,903.49 is: 160,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,773.30 : 430,170.90 = 106,903.49 : x
  2. Step 2: Convert to fraction form
    286,773.30/430,170.90 = 106,903.49/x
  3. Step 3: Cross multiply
    286,773.30x = 430,170.90 × 106,903.49
  4. Step 4: Simplify right side
    286,773.30x = 45,986,767,954.70
  5. Step 5: Solve for x
    x = 45,986,767,954.70/286,773.30
  6. Step 6: Final answer
    x = 160,359.31

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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.