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Finding the Fourth Proportional to 294,330.30, 440,511.30 and 205,756.80

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Solution

The fourth proportional to 294,330.30, 440,511.30 and 205,756.80 is: 307,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,330.30 : 440,511.30 = 205,756.80 : x
  2. Step 2: Convert to fraction form
    294,330.30/440,511.30 = 205,756.80/x
  3. Step 3: Cross multiply
    294,330.30x = 440,511.30 × 205,756.80
  4. Step 4: Simplify right side
    294,330.30x = 90,638,195,451.84
  5. Step 5: Solve for x
    x = 90,638,195,451.84/294,330.30
  6. Step 6: Final answer
    x = 307,947.21

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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.