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Finding the Fourth Proportional to 286,835.80, 430,107.90 and 168,543.40

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Solution

The fourth proportional to 286,835.80, 430,107.90 and 168,543.40 is: 252,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,835.80 : 430,107.90 = 168,543.40 : x
  2. Step 2: Convert to fraction form
    286,835.80/430,107.90 = 168,543.40/x
  3. Step 3: Cross multiply
    286,835.80x = 430,107.90 × 168,543.40
  4. Step 4: Simplify right side
    286,835.80x = 72,491,847,832.86
  5. Step 5: Solve for x
    x = 72,491,847,832.86/286,835.80
  6. Step 6: Final answer
    x = 252,729.43

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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.