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Finding the Fourth Proportional to 312,127.20, 468,266.40 and 90,511.20

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Solution

The fourth proportional to 312,127.20, 468,266.40 and 90,511.20 is: 135,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,127.20 : 468,266.40 = 90,511.20 : x
  2. Step 2: Convert to fraction form
    312,127.20/468,266.40 = 90,511.20/x
  3. Step 3: Cross multiply
    312,127.20x = 468,266.40 × 90,511.20
  4. Step 4: Simplify right side
    312,127.20x = 42,383,353,783.68
  5. Step 5: Solve for x
    x = 42,383,353,783.68/312,127.20
  6. Step 6: Final answer
    x = 135,788.72

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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.