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Finding the Fourth Proportional to 299,714.48, 413,664 and 192,420.08

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Solution

The fourth proportional to 299,714.48, 413,664 and 192,420.08 is: 265,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,714.48 : 413,664 = 192,420.08 : x
  2. Step 2: Convert to fraction form
    299,714.48/413,664 = 192,420.08/x
  3. Step 3: Cross multiply
    299,714.48x = 413,664 × 192,420.08
  4. Step 4: Simplify right side
    299,714.48x = 79,597,259,973.12
  5. Step 5: Solve for x
    x = 79,597,259,973.12/299,714.48
  6. Step 6: Final answer
    x = 265,576.96

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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.