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Finding the Fourth Proportional to 312,806.40, 469,837.95 and 186,693.04

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Solution

The fourth proportional to 312,806.40, 469,837.95 and 186,693.04 is: 280,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,806.40 : 469,837.95 = 186,693.04 : x
  2. Step 2: Convert to fraction form
    312,806.40/469,837.95 = 186,693.04/x
  3. Step 3: Cross multiply
    312,806.40x = 469,837.95 × 186,693.04
  4. Step 4: Simplify right side
    312,806.40x = 87,715,475,192.87
  5. Step 5: Solve for x
    x = 87,715,475,192.87/312,806.40
  6. Step 6: Final answer
    x = 280,414.58

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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.