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Finding the Fourth Proportional to 286,881.20, 430,321.80 and 172,719.80

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Solution

The fourth proportional to 286,881.20, 430,321.80 and 172,719.80 is: 259,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,881.20 : 430,321.80 = 172,719.80 : x
  2. Step 2: Convert to fraction form
    286,881.20/430,321.80 = 172,719.80/x
  3. Step 3: Cross multiply
    286,881.20x = 430,321.80 × 172,719.80
  4. Step 4: Simplify right side
    286,881.20x = 74,325,095,231.64
  5. Step 5: Solve for x
    x = 74,325,095,231.64/286,881.20
  6. Step 6: Final answer
    x = 259,079.70

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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.