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Finding the Fourth Proportional to 312,030, 468,122.76 and 90,414

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Solution

The fourth proportional to 312,030, 468,122.76 and 90,414 is: 135,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,030 : 468,122.76 = 90,414 : x
  2. Step 2: Convert to fraction form
    312,030/468,122.76 = 90,414/x
  3. Step 3: Cross multiply
    312,030x = 468,122.76 × 90,414
  4. Step 4: Simplify right side
    312,030x = 42,324,851,222.64
  5. Step 5: Solve for x
    x = 42,324,851,222.64/312,030
  6. Step 6: Final answer
    x = 135,643.53

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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.