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Finding the Fourth Proportional to 389,425.40, 584,138.10 and 212,278.40

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Solution

The fourth proportional to 389,425.40, 584,138.10 and 212,278.40 is: 318,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,425.40 : 584,138.10 = 212,278.40 : x
  2. Step 2: Convert to fraction form
    389,425.40/584,138.10 = 212,278.40/x
  3. Step 3: Cross multiply
    389,425.40x = 584,138.10 × 212,278.40
  4. Step 4: Simplify right side
    389,425.40x = 123,999,901,247.04
  5. Step 5: Solve for x
    x = 123,999,901,247.04/389,425.40
  6. Step 6: Final answer
    x = 318,417.60

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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.