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Finding the Fourth Proportional to 286,872.20, 430,308.30 and 172,710.80

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Solution

The fourth proportional to 286,872.20, 430,308.30 and 172,710.80 is: 259,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,872.20 : 430,308.30 = 172,710.80 : x
  2. Step 2: Convert to fraction form
    286,872.20/430,308.30 = 172,710.80/x
  3. Step 3: Cross multiply
    286,872.20x = 430,308.30 × 172,710.80
  4. Step 4: Simplify right side
    286,872.20x = 74,318,890,739.64
  5. Step 5: Solve for x
    x = 74,318,890,739.64/286,872.20
  6. Step 6: Final answer
    x = 259,066.20

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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.