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Finding the Fourth Proportional to 386,598, 533,506.20 and 225,563.76

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Solution

The fourth proportional to 386,598, 533,506.20 and 225,563.76 is: 311,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,598 : 533,506.20 = 225,563.76 : x
  2. Step 2: Convert to fraction form
    386,598/533,506.20 = 225,563.76/x
  3. Step 3: Cross multiply
    386,598x = 533,506.20 × 225,563.76
  4. Step 4: Simplify right side
    386,598x = 120,339,664,455.31
  5. Step 5: Solve for x
    x = 120,339,664,455.31/386,598
  6. Step 6: Final answer
    x = 311,278.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.