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Finding the Fourth Proportional to 299,916.78, 413,887.91 and 170,853.34

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Solution

The fourth proportional to 299,916.78, 413,887.91 and 170,853.34 is: 235,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,916.78 : 413,887.91 = 170,853.34 : x
  2. Step 2: Convert to fraction form
    299,916.78/413,887.91 = 170,853.34/x
  3. Step 3: Cross multiply
    299,916.78x = 413,887.91 × 170,853.34
  4. Step 4: Simplify right side
    299,916.78x = 70,714,133,542.07
  5. Step 5: Solve for x
    x = 70,714,133,542.07/299,916.78
  6. Step 6: Final answer
    x = 235,779.18

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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.