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Finding the Fourth Proportional to 312,174, 468,338.76 and 90,558

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Solution

The fourth proportional to 312,174, 468,338.76 and 90,558 is: 135,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,174 : 468,338.76 = 90,558 : x
  2. Step 2: Convert to fraction form
    312,174/468,338.76 = 90,558/x
  3. Step 3: Cross multiply
    312,174x = 468,338.76 × 90,558
  4. Step 4: Simplify right side
    312,174x = 42,411,821,428.08
  5. Step 5: Solve for x
    x = 42,411,821,428.08/312,174
  6. Step 6: Final answer
    x = 135,859.56

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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.