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Finding the Fourth Proportional to 312,294, 468,453.96 and 90,678

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Solution

The fourth proportional to 312,294, 468,453.96 and 90,678 is: 136,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294 : 468,453.96 = 90,678 : x
  2. Step 2: Convert to fraction form
    312,294/468,453.96 = 90,678/x
  3. Step 3: Cross multiply
    312,294x = 468,453.96 × 90,678
  4. Step 4: Simplify right side
    312,294x = 42,478,468,184.88
  5. Step 5: Solve for x
    x = 42,478,468,184.88/312,294
  6. Step 6: Final answer
    x = 136,020.76

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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.