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Finding the Fourth Proportional to 286,519.78, 429,779.20 and 76,157.72

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Solution

The fourth proportional to 286,519.78, 429,779.20 and 76,157.72 is: 114,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,519.78 : 429,779.20 = 76,157.72 : x
  2. Step 2: Convert to fraction form
    286,519.78/429,779.20 = 76,157.72/x
  3. Step 3: Cross multiply
    286,519.78x = 429,779.20 × 76,157.72
  4. Step 4: Simplify right side
    286,519.78x = 32,731,003,975.42
  5. Step 5: Solve for x
    x = 32,731,003,975.42/286,519.78
  6. Step 6: Final answer
    x = 114,236.46

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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.