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Finding the Fourth Proportional to 279,316.48, 418,974.72 and 131,584

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Solution

The fourth proportional to 279,316.48, 418,974.72 and 131,584 is: 197,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,316.48 : 418,974.72 = 131,584 : x
  2. Step 2: Convert to fraction form
    279,316.48/418,974.72 = 131,584/x
  3. Step 3: Cross multiply
    279,316.48x = 418,974.72 × 131,584
  4. Step 4: Simplify right side
    279,316.48x = 55,130,369,556.48
  5. Step 5: Solve for x
    x = 55,130,369,556.48/279,316.48
  6. Step 6: Final answer
    x = 197,376

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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.