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Finding the Fourth Proportional to 411,219.24, 615,123 and 386,025

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Solution

The fourth proportional to 411,219.24, 615,123 and 386,025 is: 577,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,219.24 : 615,123 = 386,025 : x
  2. Step 2: Convert to fraction form
    411,219.24/615,123 = 386,025/x
  3. Step 3: Cross multiply
    411,219.24x = 615,123 × 386,025
  4. Step 4: Simplify right side
    411,219.24x = 237,452,856,075
  5. Step 5: Solve for x
    x = 237,452,856,075/411,219.24
  6. Step 6: Final answer
    x = 577,436.15

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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.