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Finding the Fourth Proportional to 389,813.60, 584,428.80 and 212,520.80

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Solution

The fourth proportional to 389,813.60, 584,428.80 and 212,520.80 is: 318,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,813.60 : 584,428.80 = 212,520.80 : x
  2. Step 2: Convert to fraction form
    389,813.60/584,428.80 = 212,520.80/x
  3. Step 3: Cross multiply
    389,813.60x = 584,428.80 × 212,520.80
  4. Step 4: Simplify right side
    389,813.60x = 124,203,276,119.04
  5. Step 5: Solve for x
    x = 124,203,276,119.04/389,813.60
  6. Step 6: Final answer
    x = 318,622.22

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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.