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Finding the Fourth Proportional to 389,605.10, 584,116.05 and 212,312.30

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Solution

The fourth proportional to 389,605.10, 584,116.05 and 212,312.30 is: 318,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,605.10 : 584,116.05 = 212,312.30 : x
  2. Step 2: Convert to fraction form
    389,605.10/584,116.05 = 212,312.30/x
  3. Step 3: Cross multiply
    389,605.10x = 584,116.05 × 212,312.30
  4. Step 4: Simplify right side
    389,605.10x = 124,015,022,042.42
  5. Step 5: Solve for x
    x = 124,015,022,042.42/389,605.10
  6. Step 6: Final answer
    x = 318,309.54

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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.