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Finding the Fourth Proportional to 312,295, 468,455.46 and 90,679

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Solution

The fourth proportional to 312,295, 468,455.46 and 90,679 is: 136,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,295 : 468,455.46 = 90,679 : x
  2. Step 2: Convert to fraction form
    312,295/468,455.46 = 90,679/x
  3. Step 3: Cross multiply
    312,295x = 468,455.46 × 90,679
  4. Step 4: Simplify right side
    312,295x = 42,479,072,657.34
  5. Step 5: Solve for x
    x = 42,479,072,657.34/312,295
  6. Step 6: Final answer
    x = 136,022.26

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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.