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Finding the Fourth Proportional to 679,617, 1,019,428.74 and 180,981

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Solution

The fourth proportional to 679,617, 1,019,428.74 and 180,981 is: 271,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,617 : 1,019,428.74 = 180,981 : x
  2. Step 2: Convert to fraction form
    679,617/1,019,428.74 = 180,981/x
  3. Step 3: Cross multiply
    679,617x = 1,019,428.74 × 180,981
  4. Step 4: Simplify right side
    679,617x = 184,497,232,793.94
  5. Step 5: Solve for x
    x = 184,497,232,793.94/679,617
  6. Step 6: Final answer
    x = 271,472.36

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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.