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Finding the Fourth Proportional to 299,572.98, 413,409.72 and 178,719.36

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Solution

The fourth proportional to 299,572.98, 413,409.72 and 178,719.36 is: 246,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,572.98 : 413,409.72 = 178,719.36 : x
  2. Step 2: Convert to fraction form
    299,572.98/413,409.72 = 178,719.36/x
  3. Step 3: Cross multiply
    299,572.98x = 413,409.72 × 178,719.36
  4. Step 4: Simplify right side
    299,572.98x = 73,884,320,576.18
  5. Step 5: Solve for x
    x = 73,884,320,576.18/299,572.98
  6. Step 6: Final answer
    x = 246,632.12

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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.