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Finding the Fourth Proportional to 442,813.20, 664,219.80 and 218,208.30

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Solution

The fourth proportional to 442,813.20, 664,219.80 and 218,208.30 is: 327,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,813.20 : 664,219.80 = 218,208.30 : x
  2. Step 2: Convert to fraction form
    442,813.20/664,219.80 = 218,208.30/x
  3. Step 3: Cross multiply
    442,813.20x = 664,219.80 × 218,208.30
  4. Step 4: Simplify right side
    442,813.20x = 144,938,273,384.34
  5. Step 5: Solve for x
    x = 144,938,273,384.34/442,813.20
  6. Step 6: Final answer
    x = 327,312.45

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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.