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Finding the Fourth Proportional to 286,531.74, 429,800.85 and 86,850.54

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Solution

The fourth proportional to 286,531.74, 429,800.85 and 86,850.54 is: 130,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,531.74 : 429,800.85 = 86,850.54 : x
  2. Step 2: Convert to fraction form
    286,531.74/429,800.85 = 86,850.54/x
  3. Step 3: Cross multiply
    286,531.74x = 429,800.85 × 86,850.54
  4. Step 4: Simplify right side
    286,531.74x = 37,328,435,914.96
  5. Step 5: Solve for x
    x = 37,328,435,914.96/286,531.74
  6. Step 6: Final answer
    x = 130,276.79

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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.