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Finding the Fourth Proportional to 615,438.08, 923,144.06 and 205,137.05

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Solution

The fourth proportional to 615,438.08, 923,144.06 and 205,137.05 is: 307,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,438.08 : 923,144.06 = 205,137.05 : x
  2. Step 2: Convert to fraction form
    615,438.08/923,144.06 = 205,137.05/x
  3. Step 3: Cross multiply
    615,438.08x = 923,144.06 × 205,137.05
  4. Step 4: Simplify right side
    615,438.08x = 189,371,049,193.42
  5. Step 5: Solve for x
    x = 189,371,049,193.42/615,438.08
  6. Step 6: Final answer
    x = 307,701.22

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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.