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Finding the Fourth Proportional to 286,514.94, 429,771.94 and 76,152.88

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Solution

The fourth proportional to 286,514.94, 429,771.94 and 76,152.88 is: 114,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,514.94 : 429,771.94 = 76,152.88 : x
  2. Step 2: Convert to fraction form
    286,514.94/429,771.94 = 76,152.88/x
  3. Step 3: Cross multiply
    286,514.94x = 429,771.94 × 76,152.88
  4. Step 4: Simplify right side
    286,514.94x = 32,728,369,331.91
  5. Step 5: Solve for x
    x = 32,728,369,331.91/286,514.94
  6. Step 6: Final answer
    x = 114,229.19

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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.