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Finding the Fourth Proportional to 286,450.56, 429,701.76 and 86,771.52

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Solution

The fourth proportional to 286,450.56, 429,701.76 and 86,771.52 is: 130,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,450.56 : 429,701.76 = 86,771.52 : x
  2. Step 2: Convert to fraction form
    286,450.56/429,701.76 = 86,771.52/x
  3. Step 3: Cross multiply
    286,450.56x = 429,701.76 × 86,771.52
  4. Step 4: Simplify right side
    286,450.56x = 37,285,874,861.88
  5. Step 5: Solve for x
    x = 37,285,874,861.88/286,450.56
  6. Step 6: Final answer
    x = 130,165.13

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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.