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Finding the Fourth Proportional to 286,633.58, 429,960.09 and 76,271.72

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Solution

The fourth proportional to 286,633.58, 429,960.09 and 76,271.72 is: 114,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,633.58 : 429,960.09 = 76,271.72 : x
  2. Step 2: Convert to fraction form
    286,633.58/429,960.09 = 76,271.72/x
  3. Step 3: Cross multiply
    286,633.58x = 429,960.09 × 76,271.72
  4. Step 4: Simplify right side
    286,633.58x = 32,793,795,595.65
  5. Step 5: Solve for x
    x = 32,793,795,595.65/286,633.58
  6. Step 6: Final answer
    x = 114,410.17

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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.