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Finding the Fourth Proportional to 286,696.89, 429,377.90 and 276,730.65

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Solution

The fourth proportional to 286,696.89, 429,377.90 and 276,730.65 is: 414,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,696.89 : 429,377.90 = 276,730.65 : x
  2. Step 2: Convert to fraction form
    286,696.89/429,377.90 = 276,730.65/x
  3. Step 3: Cross multiply
    286,696.89x = 429,377.90 × 276,730.65
  4. Step 4: Simplify right side
    286,696.89x = 118,822,023,978.98
  5. Step 5: Solve for x
    x = 118,822,023,978.98/286,696.89
  6. Step 6: Final answer
    x = 414,451.74

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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.