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Finding the Fourth Proportional to 312,323.68, 468,672.12 and 286,913.94

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Solution

The fourth proportional to 312,323.68, 468,672.12 and 286,913.94 is: 430,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,323.68 : 468,672.12 = 286,913.94 : x
  2. Step 2: Convert to fraction form
    312,323.68/468,672.12 = 286,913.94/x
  3. Step 3: Cross multiply
    312,323.68x = 468,672.12 × 286,913.94
  4. Step 4: Simplify right side
    312,323.68x = 134,468,564,517.35
  5. Step 5: Solve for x
    x = 134,468,564,517.35/312,323.68
  6. Step 6: Final answer
    x = 430,542.33

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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.