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Finding the Fourth Proportional to 286,514.08, 429,770.52 and 76,152

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Solution

The fourth proportional to 286,514.08, 429,770.52 and 76,152 is: 114,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,514.08 : 429,770.52 = 76,152 : x
  2. Step 2: Convert to fraction form
    286,514.08/429,770.52 = 76,152/x
  3. Step 3: Cross multiply
    286,514.08x = 429,770.52 × 76,152
  4. Step 4: Simplify right side
    286,514.08x = 32,727,884,639.04
  5. Step 5: Solve for x
    x = 32,727,884,639.04/286,514.08
  6. Step 6: Final answer
    x = 114,227.84

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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.